322 ideas
23350 | A wise philosophers uses reason to cautiously judge each aspect of living [Epictetus] |
7504 | Modern science comes from Descartes' view that knowledge doesn't need moral purity [Descartes, by Foucault] |
3600 | Slow and accurate thought makes the greatest progress [Descartes] |
3656 | The greatest good for a state is true philosophers [Descartes] |
23355 | The task of philosophy is to establish standards, as occurs with weights and measures [Epictetus] |
21394 | Philosophy is knowing each logos, how they fit together, and what follows from them [Epictetus] |
23367 | Even pointing a finger should only be done for a reason [Epictetus] |
20876 | Philosophy investigates the causes of disagreements, and seeks a standard for settling them [Epictetus] |
24032 | Clever scholars can obscure things which are obvious even to peasants [Descartes] |
3601 | Most things in human life seem vain and useless [Descartes] |
3602 | Almost every daft idea has been expressed by some philosopher [Descartes] |
21962 | Metaphysics is the roots of the tree of science [Descartes] |
24033 | Most scholastic disputes concern words, where agreeing on meanings would settle them [Descartes] |
3653 | My Meditations are the complete foundation of my physics [Descartes] |
1569 | Descartes impoverished the classical idea of logos, and it no longer covered human experience [Roochnik on Descartes] |
24024 | The secret of the method is to recognise which thing in a series is the simplest [Descartes] |
3603 | Methodical thinking is cautious, analytical, systematic, and panoramic [Descartes, by PG] |
2248 | Reason says don't assent to uncertain principles, just as much as totally false ones [Descartes] |
24018 | One truth leads us to another [Descartes] |
2857 | Since Plato all philosophers have followed the herd, except Descartes, stuck in superficial reason [Nietzsche on Descartes] |
23344 | Reason itself must be compounded from some of our impressions [Epictetus] |
23343 | Because reason performs all analysis, we should analyse reason - but how? [Epictetus] |
2290 | Once it is clear that there is a God who is no deceiver, I conclude that clear and distinct perceptions must be true [Descartes] |
3612 | Clear and distinct conceptions are true because a perfect God exists [Descartes] |
3641 | It is circular to make truth depend on believing God's existence is true [Arnauld on Descartes] |
4524 | Descartes is right that in the Christian view only God can guarantee the reliability of senses [Nietzsche on Descartes] |
3659 | I know the truth that God exists and is the author of truth [Descartes] |
4736 | Truth is such a transcendentally clear notion that it cannot be further defined [Descartes] |
3610 | Truth is clear and distinct conception - of which it is hard to be sure [Descartes] |
2266 | My general rule is that everything that I perceive clearly and distinctly is true [Descartes] |
4301 | Someone may think a thing is 'clear and distinct', but be wrong [Leibniz on Descartes] |
4298 | All items of possible human knowledge are interconnected, and can be reached by inference [Descartes] |
15901 | Trying to represent curves, we study arbitrary functions, leading to the ordinals, which produces set theory [Cantor, by Lavine] |
15946 | Cantor developed sets from a progression into infinity by addition, multiplication and exponentiation [Cantor, by Lavine] |
9616 | A set is a collection into a whole of distinct objects of our intuition or thought [Cantor] |
13444 | Cantor's Theorem: for any set x, its power set P(x) has more members than x [Cantor, by Hart,WD] |
18098 | Cantor proved that all sets have more subsets than they have members [Cantor, by Bostock] |
15505 | If a set is 'a many thought of as one', beginners should protest against singleton sets [Cantor, by Lewis] |
10865 | The continuum is the powerset of the integers, which moves up a level [Cantor, by Clegg] |
10701 | Cantor showed that supposed contradictions in infinity were just a lack of clarity [Cantor, by Potter] |
17831 | Cantor gives informal versions of ZF axioms as ways of getting from one set to another [Cantor, by Lake] |
13016 | The Axiom of Union dates from 1899, and seems fairly obvious [Cantor, by Maddy] |
14199 | Cantor's sets were just collections, but Dedekind's were containers [Cantor, by Oliver/Smiley] |
10054 | Arithmetic and geometry achieve some certainty without worrying about existence [Descartes] |
10082 | There are infinite sets that are not enumerable [Cantor, by Smith,P] |
13483 | Cantor's Paradox: the power set of the universe must be bigger than the universe, yet a subset of it [Cantor, by Hart,WD] |
8710 | The powerset of all the cardinal numbers is required to be greater than itself [Cantor, by Friend] |
2252 | Surely maths is true even if I am dreaming? [Descartes] |
2430 | I can learn the concepts of duration and number just from observing my own thoughts [Descartes] |
15910 | Cantor named the third realm between the finite and the Absolute the 'transfinite' [Cantor, by Lavine] |
15905 | Cantor proved the points on a plane are in one-to-one correspondence to the points on a line [Cantor, by Lavine] |
9983 | Cantor took the ordinal numbers to be primary [Cantor, by Tait] |
17798 | Cantor presented the totality of natural numbers as finite, not infinite [Cantor, by Mayberry] |
9971 | Cantor introduced the distinction between cardinals and ordinals [Cantor, by Tait] |
9892 | Cantor showed that ordinals are more basic than cardinals [Cantor, by Dummett] |
15911 | Ordinals are generated by endless succession, followed by a limit ordinal [Cantor, by Lavine] |
14136 | A cardinal is an abstraction, from the nature of a set's elements, and from their order [Cantor] |
13445 | Descartes showed a one-one order-preserving match between points on a line and the real numbers [Descartes, by Hart,WD] |
15906 | Cantor tried to prove points on a line matched naturals or reals - but nothing in between [Cantor, by Lavine] |
11015 | Cantor's diagonal argument proved you can't list all decimal numbers between 0 and 1 [Cantor, by Read] |
15903 | A real is associated with an infinite set of infinite Cauchy sequences of rationals [Cantor, by Lavine] |
18251 | Irrational numbers are the limits of Cauchy sequences of rational numbers [Cantor, by Lavine] |
24036 | I can only see the proportion of two to three if there is a common measure - their unity [Descartes] |
24035 | Unity is something shared by many things, so in that respect they are equals [Descartes] |
15902 | Irrationals and the Dedekind Cut implied infinite classes, but they seemed to have logical difficulties [Cantor, by Lavine] |
15908 | It was Cantor's diagonal argument which revealed infinities greater than that of the real numbers [Cantor, by Lavine] |
13464 | Cantor proposes that there won't be a potential infinity if there is no actual infinity [Cantor, by Hart,WD] |
10112 | The naturals won't map onto the reals, so there are different sizes of infinity [Cantor, by George/Velleman] |
15896 | Cantor needed Power Set for the reals, but then couldn't count the new collections [Cantor, by Lavine] |
17889 | CH: An infinite set of reals corresponds 1-1 either to the naturals or to the reals [Cantor, by Koellner] |
8733 | The Continuum Hypothesis says there are no sets between the natural numbers and reals [Cantor, by Shapiro] |
13447 | Cantor: there is no size between naturals and reals, or between a set and its power set [Cantor, by Hart,WD] |
10883 | Cantor's Continuum Hypothesis says there is a gap between the natural and the real numbers [Cantor, by Horsten] |
13528 | Continuum Hypothesis: there are no sets between N and P(N) [Cantor, by Wolf,RS] |
9555 | Continuum Hypothesis: no cardinal greater than aleph-null but less than cardinality of the continuum [Cantor, by Chihara] |
15893 | Cantor's theory concerns collections which can be counted, using the ordinals [Cantor, by Lavine] |
18174 | Cantor extended ordinals into the transfinite, and they can thus measure infinite cardinalities [Cantor, by Maddy] |
18173 | Cardinality strictly concerns one-one correspondence, to test infinite sameness of size [Cantor, by Maddy] |
9992 | The 'extension of a concept' in general may be quantitatively completely indeterminate [Cantor] |
10232 | Property extensions outstrip objects, so shortage of objects caused the Caesar problem [Cantor, by Shapiro] |
18176 | Pure mathematics is pure set theory [Cantor] |
8631 | Cantor says that maths originates only by abstraction from objects [Cantor, by Frege] |
21963 | It is possible that an omnipotent God might make one and two fail to equal three [Descartes] |
24029 | Among the simples are the graspable negations, such as rest and instants [Descartes] |
3644 | Two things being joined together doesn't prove they are the same [Descartes] |
16635 | Incorporeal substances are powers or forces [Descartes, by Pasnau] |
16744 | All powers can be explained by obvious features like size, shape and motion of matter [Descartes] |
5016 | Five universals: genus, species, difference, property, accident [Descartes] |
5015 | A universal is a single idea applied to individual things that are similar to one another [Descartes] |
2297 | If I can separate two things in my understanding, then God can separate them in reality [Descartes] |
3626 | Knowing the attributes is enough to reveal a substance [Descartes] |
16630 | If we perceive an attribute, we infer the existence of some substance [Descartes] |
5013 | A substance needs nothing else in order to exist [Descartes] |
3628 | Substance cannot be conceived or explained to others [Gassendi on Descartes] |
16774 | Descartes thinks distinguishing substances from aggregates is pointless [Descartes, by Pasnau] |
16631 | If we remove surface qualities from wax, we have an extended, flexible, changeable thing [Descartes] |
17865 | Descartes gives an essence by an encapsulating formula [Descartes, by Almog] |
16633 | A substance has one principal property which is its nature and essence [Descartes] |
12251 | Substantial forms are not understood, and explain nothing [Descartes] |
24030 | 3+4=7 is necessary because we cannot conceive of seven without including three and four [Descartes] |
2301 | We know by thought that what is done cannot be undone [Descartes] |
3642 | Pythagoras' Theorem doesn't cease to be part of the essence of triangles just because we doubt it [Arnauld on Descartes] |
3605 | We can believe a thing without knowing we believe it [Descartes] |
20190 | Belief is not an intellectual state or act, because propositions are affirmed or denied by the will [Descartes, by Zagzebski] |
23359 | We can't believe apparent falsehoods, or deny apparent truths [Epictetus] |
1583 | In morals Descartes accepts the conventional, but rejects it in epistemology [Roochnik on Descartes] |
1585 | Descartes tried to model reason on maths instead of 'logos' [Roochnik on Descartes] |
24019 | If we accept mere probabilities as true we undermine our existing knowledge [Descartes] |
9807 | In pursuing truth, anything less certain than mathematics is a waste of time [Descartes] |
1582 | Labelling slightly doubtful things as false is irrational [Roochnik on Descartes] |
3657 | Understanding, not the senses, gives certainty [Descartes] |
2256 | Maybe there is only one certain fact, which is that nothing is certain [Descartes] |
3622 | The Cogito is not a syllogism but a self-evident intuition [Descartes] |
5006 | 'Thought' is all our conscious awareness, including feeling as well as understanding [Descartes] |
2260 | If I don't think, there is no reason to think that I exist [Descartes] |
24020 | We all see intuitively that we exist, where intuition is attentive, clear and distinct rational understanding [Descartes] |
24031 | When Socrates doubts, he know he doubts, and that truth is possible [Descartes] |
3607 | In thinking everything else false, my own existence remains totally certain [Descartes] |
6929 | Modern philosophy set the self-conscious ego in place of God [Descartes, by Feuerbach] |
3849 | "I think therefore I am" is the absolute truth of consciousness [Sartre on Descartes] |
2258 | I must even exist if I am being deceived by something [Descartes] |
2259 | "I am, I exist" is necessarily true every time I utter it or conceive it in my mind [Descartes] |
3160 | The Cogito is a transcendental argument, not a piece of a priori knowledge [Rey on Descartes] |
3658 | Total doubt can't include your existence while doubting [Descartes] |
6914 | Descartes transformed 'God is thinkable, so he exists' into 'I think, so I exist' [Descartes, by Feuerbach] |
4641 | In the Meditations version of the Cogito he says "I am; I exist", which avoids presenting it as an argument [Descartes, by Baggini /Fosl] |
5005 | I think, therefore I am, because for a thinking thing to not exist is a contradiction [Descartes] |
1117 | The Cogito proves subjective experience is basic, but makes false claims about the Self [Russell on Descartes] |
2873 | Maybe 'I' am not the thinker, but something produced by thought [Nietzsche on Descartes] |
5360 | The thing which experiences may be momentary, and change with the next experience [Russell on Descartes] |
2870 | 'I think' assumes I exist, that thinking is known and caused, and that I am doing it [Nietzsche on Descartes] |
5188 | A thought doesn't imply other thoughts, or enough thoughts to make up a self [Ayer on Descartes] |
3623 | The Cogito only works if you already understand what thought and existence are [Mersenne on Descartes] |
3624 | That I perform an activity (thinking) doesn't prove what type of thing I am [Hobbes on Descartes] |
3120 | Autistic children seem to use the 'I' concept without seeing themselves as thinkers [Segal on Descartes] |
4526 | The Cogito assumes a priori the existence of substance, when actually it is a grammatical custom [Nietzsche on Descartes] |
5579 | How can we infer that all thinking involves self-consciousness, just from my own case? [Kant on Descartes] |
5580 | My self is not an inference from 'I think', but a presupposition of it [Kant on Descartes] |
5587 | We cannot give any information a priori about the nature of the 'thing that thinks' [Kant on Descartes] |
5588 | The fact that I am a subject is not enough evidence to show that I am a substantial object [Kant on Descartes] |
13923 | Descartes' claim to know his existence before his essence is misleading or absurd [Descartes, by Lowe] |
6930 | Modern self-consciousness is a doubtful abstraction; only senses and feelings are certain [Feuerbach on Descartes] |
1369 | It is a precondition of the use of the word 'I' that I exist [Ayer on Descartes] |
2261 | My perceiving of things may be false, but my seeming to perceive them cannot be false [Descartes] |
2257 | I myself could be the author of all these self-delusions [Descartes] |
23356 | Self-evidence is most obvious when people who deny a proposition still have to use it [Epictetus] |
24025 | Clear and distinct truths must be known all at once (unlike deductions) [Descartes] |
24022 | Our souls possess divine seeds of knowledge, which can bear spontaneous fruit [Descartes] |
3630 | Our thinking about external things doesn't disprove the existence of innate ideas [Descartes] |
2279 | A triangle has a separate non-invented nature, shown by my ability to prove facts about it [Descartes] |
5012 | 'Nothing comes from nothing' is an eternal truth found within the mind [Descartes] |
2602 | What experience could prove 'If a=c and b=c then a=b'? [Descartes] |
3617 | I aim to find the principles and causes of everything, using the seeds within my mind [Descartes] |
6490 | For Descartes, objects have one primary quality, which is geometrical [Descartes, by Robinson,H] |
22593 | Our sensation of light may not be the same as what produces the sensation [Descartes] |
7400 | Descartes said images can refer to objects without resembling them (as words do) [Descartes, by Tuck] |
2295 | Why does pain make us sad? [Descartes] |
2265 | We perceive objects by intellect, not by senses or imagination [Descartes] |
3611 | Understanding, rather than imagination or senses, gives knowledge [Descartes] |
2264 | We don't 'see' men in heavy clothes, we judge them to be men [Descartes] |
3627 | Dogs can make the same judgements as us about variable things [Gassendi on Descartes] |
2263 | The wax is not perceived by the senses, but by the mind alone [Descartes] |
24034 | If someone had only seen the basic colours, they could deduce the others from resemblance [Descartes] |
24021 | The method starts with clear intuitions, followed by a process of deduction [Descartes] |
3606 | I was searching for reliable rock under the shifting sand [Descartes] |
2247 | To achieve good science we must rebuild from the foundations [Descartes] |
2255 | Only one certainty is needed for progress (like a lever's fulcrum) [Descartes] |
5004 | We can know basic Principles without further knowledge, but not the other way round [Descartes] |
2251 | Even if my body and objects are imaginary, there may be simpler things which are true [Descartes] |
6347 | Descartes can't begin again, because sceptics doubt cognitive processes as well as beliefs [Pollock/Cruz on Descartes] |
3620 | We correct sense errors with other senses, not intellect [Mersenne on Descartes] |
3619 | The senses can only report, so perception errors are in the judgment [Gassendi on Descartes] |
3621 | Only judgement decides which of our senses are reliable [Descartes] |
2296 | If pain is felt in a lost limb, I cannot be certain that a felt pain exists in my real limbs [Descartes] |
2249 | It is prudent never to trust your senses if they have deceived you even once [Descartes] |
2253 | God may have created nothing, but made his creation appear to me as it does now [Descartes] |
2254 | To achieve full scepticism, I imagine a devil who deceives me about the external world and my own body and senses [Descartes] |
2305 | Waking actions are joined by memory to all our other actions, unlike actions of which we dream [Descartes] |
3604 | When rebuilding a house, one needs alternative lodgings [Descartes] |
2294 | I can only sense an object if it is present, and can't fail to sense it when it is [Descartes] |
3618 | Only experiments can settle disagreements between rival explanations [Descartes] |
4862 | Can the pineal gland be moved more slowly or quickly by the mind than by animal spirits? [Spinoza on Descartes] |
3850 | We discovers others as well as ourselves in the Cogito [Sartre on Descartes] |
2302 | Faculties of the mind aren't parts, as one mind uses them [Descartes] |
3615 | Little reason is needed to speak, so animals have no reason at all [Descartes] |
24027 | Nerves and movement originate in the brain, where imagination moves them [Descartes] |
5014 | We can understand thinking occuring without imagination or sensation [Descartes] |
16634 | I can't be unaware of anything which is in me [Descartes] |
3151 | Descartes put thought at the centre of the mind problem, but we put sensation [Rey on Descartes] |
24026 | Our four knowledge faculties are intelligence, imagination, the senses, and memory [Descartes] |
21800 | Descartes mentions many cognitive faculties, but reduces them to will and intellect [Descartes, by Schmid] |
1399 | Imagination and sensation are non-essential to mind [Descartes] |
1400 | Some cause must unite the separate temporal sections of a person [Descartes] |
3609 | I am a thinking substance, which doesn't need a place or material support [Descartes] |
1401 | Since I only observe myself to be thinking, I conclude that that is my essence [Descartes] |
2299 | I can exist without imagination and sensing, but they can't exist without me [Descartes] |
6907 | For Descartes a person's essence is the mind because objects are perceived by mind, not senses [Descartes, by Feuerbach] |
5017 | In thinking we shut ourselves off from other substances, showing our identity and separateness [Descartes] |
23330 | Freedom is making all things happen by choice, without constraint [Epictetus] |
23342 | Freedom is acting by choice, with no constraint possible [Epictetus] |
23329 | We make progress when we improve and naturalise our choices, asserting their freedom [Epictetus] |
2283 | Our 'will' just consists of the feeling that when we are motivated to do something, there are no external pressures [Descartes] |
5010 | Our free will is so self-evident to us that it must be a basic innate idea [Descartes] |
23332 | Zeus gave me a nature which is free (like himself) from all compulsion [Epictetus] |
23331 | Not even Zeus can control what I choose [Epictetus] |
3789 | The more reasons that compel me, the freer I am [Descartes] |
2282 | My capacity to make choices with my free will extends as far as any faculty ever could [Descartes] |
4310 | We have inner awareness of our freedom [Descartes] |
23338 | You can fetter my leg, but not even Zeus can control my power of choice [Epictetus] |
20875 | If we could foresee the future, we should collaborate with disease and death [Epictetus] |
23347 | If I know I am fated to be ill, I should want to be ill [Epictetus] |
24028 | The force by which we know things is spiritual, and quite distinct from the body [Descartes] |
3608 | I can deny my body and the world, but not my own existence [Descartes] |
3613 | Reason is universal in its responses, but a physical machine is constrained by its organs [Descartes] |
2276 | The mind is a non-extended thing which thinks [Descartes] |
2298 | Mind is not extended, unlike the body [Descartes] |
3423 | Descartes is a substance AND property dualist [Descartes, by Kim] |
2303 | The mind is utterly indivisible [Descartes] |
5011 | There are two ultimate classes of existence: thinking substance and extended substance [Descartes] |
3616 | The soul must unite with the body to have appetites and sensations [Descartes] |
6153 | Interaction between mental and physical seems to violate the principle of conservation of energy [Rowlands on Descartes] |
6553 | Descartes discussed the interaction problem, and compared it with gravity [Descartes, by Lycan] |
3654 | The pineal gland links soul to body, and unites the two symmetrical sides of the body [Descartes, by PG] |
3625 | The 'thinking thing' may be the physical basis of the mind [Hobbes on Descartes] |
2552 | Knowing different aspects of brain/mind doesn't make them different [Rorty on Descartes] |
4305 | Descartes gives no clear criterion for individuating mental substances [Cottingham on Descartes] |
4861 | Does Descartes have a clear conception of how mind unites with body? [Spinoza on Descartes] |
6540 | Even Descartes may concede that mental supervenes on neuroanatomical [Lycan on Descartes] |
7733 | Superman's strength is indubitable, Clark Kent's is doubtful, so they are not the same? [Maslin on Descartes] |
5018 | Even if tightly united, mind and body are different, as God could separate them [Descartes] |
3643 | The concept of mind excludes body, and vice versa [Descartes] |
5686 | In some thoughts I grasp a subject, but also I will or fear or affirm or deny it [Descartes] |
4015 | For Descartes passions are God-given preservers of the mind-body union [Descartes, by Taylor,C] |
4313 | Are there a few primary passions (say, joy, sadness and desire)? [Descartes, by Cottingham] |
23989 | There are six primitive passions: wonder, love, hatred, desire, joy and sadness [Descartes, by Goldie] |
4017 | Descartes created the modern view of rationality, as an internal feature instead of an external vision [Descartes, by Taylor,C] |
2284 | I make errors because my will extends beyond my understanding [Descartes] |
5007 | Most errors of judgement result from an inaccurate perception of the facts [Descartes] |
3614 | A machine could speak in response to physical stimulus, but not hold a conversation [Descartes] |
5685 | True ideas are images, such as of a man, a chimera, or God [Descartes] |
3629 | All ideas are adventitious, and come from the senses [Gassendi on Descartes] |
8715 | Infinities expand the bounds of the conceivable; we explore concepts to explore conceivability [Cantor, by Friend] |
2601 | Qualia must be innate, because physical motions do not contain them [Descartes] |
2600 | The mind's innate ideas are part of its capacity for thought [Descartes] |
3631 | A blind man may still contain the idea of colour [Descartes] |
2285 | I can think of innumerable shapes I have never experienced [Descartes] |
2286 | The idea of a supremely perfect being is within me, like the basic concepts of mathematics [Descartes] |
2273 | The ideas of God and of my self are innate in me [Descartes] |
13454 | Cantor says (vaguely) that we abstract numbers from equal sized sets [Hart,WD on Cantor] |
9145 | We form the image of a cardinal number by a double abstraction, from the elements and from their order [Cantor] |
20037 | Merely willing to walk leads to our walking [Descartes] |
23325 | Epictetus developed a notion of will as the source of our responsibility [Epictetus, by Frede,M] |
5008 | The greatest perfection of man is to act by free will, and thus merit praise or blame [Descartes] |
5009 | We do not praise the acts of an efficient automaton, as their acts are necessary [Descartes] |
20873 | Tragedies are versified sufferings of people impressed by externals [Epictetus] |
23364 | Homer wrote to show that the most blessed men can be ruined by poor judgement [Epictetus] |
23340 | We consist of animal bodies and god-like reason [Epictetus] |
23366 | We see nature's will in the ways all people are the same [Epictetus] |
23358 | Every species produces exceptional beings, and we must just accept their nature [Epictetus] |
23339 | I will die as becomes a person returning what he does not own [Epictetus] |
23345 | Don't be frightened of pain or death; only be frightened of fearing them [Epictetus] |
16763 | We don't die because the soul departs; the soul departs because the organs cease functioning [Descartes] |
23357 | Knowledge of what is good leads to love; only the wise, who distinguish good from evil, can love [Epictetus] |
23363 | The evil for everything is what is contrary to its nature [Epictetus] |
23328 | The essences of good and evil are in dispositions to choose [Epictetus] |
23362 | All human ills result from failure to apply preconceptions to particular cases [Epictetus] |
1581 | Greeks elevate virtues enormously, but never explain them [Descartes] |
23353 | We have a natural sense of honour [Epictetus] |
23354 | If someone harms themselves in harming me, then I harm myself by returning the harm [Epictetus] |
23324 | In the Discourses choice [prohairesis] defines our character and behaviour [Epictetus, by Frede,M] |
4016 | Descartes makes strength of will the central virtue [Descartes, by Taylor,C] |
4022 | Epictetus says we should console others for misfortune, but not be moved by pity [Epictetus, by Taylor,C] |
23365 | If someone is weeping, you should sympathise and help, but not share his suffering [Epictetus] |
23361 | Health is only a good when it is used well [Epictetus] |
3635 | Essence must be known before we discuss existence [Descartes] |
23346 | A person is as naturally a part of a city as a foot is part of the body [Epictetus] |
23351 | We are citizens of the universe, and principal parts of it [Epictetus] |
23352 | A citizen should only consider what is good for the whole society [Epictetus] |
20874 | A citizen is committed to ignore private advantage, and seek communal good [Epictetus] |
22604 | Punishing a criminal for moral ignorance is the same as punishing someone for being blind [Epictetus] |
23368 | Perhaps we should persuade culprits that their punishment is just? [Epictetus] |
19676 | Nature is devoid of thought [Descartes, by Meillassoux] |
15987 | Physics only needs geometry or abstract mathematics, which can explain and demonstrate everything [Descartes] |
23349 | Asses are born to carry human burdens, not as ends in themselves [Epictetus] |
2280 | Many causes are quite baffling, so it is absurd to deduce causes from final purposes [Descartes] |
12730 | We will not try to understand natural or divine ends, or final causes [Descartes] |
24023 | All the sciences searching for order and measure are related to mathematics [Descartes] |
16569 | The Hot, Cold, Wet and Dry of the philosophers need themselves to be explained [Descartes] |
6518 | Matter can't just be Descartes's geometry, because a filler of the spaces is needed [Robinson,H on Descartes] |
16601 | Matter is not hard, heavy or coloured, but merely extended in space [Descartes] |
16684 | Impenetrability only belongs to the essence of extension [Descartes] |
2272 | There must be at least as much in the cause as there is in the effect [Descartes] |
16686 | God has established laws throughout nature, and implanted ideas of them within us [Descartes] |
20964 | Descartes said there was conservation of 'quantity of motion' [Descartes, by Papineau] |
10863 | Cantor proved that three dimensions have the same number of points as one dimension [Cantor, by Clegg] |
2269 | God the creator is an intelligent, infinite, powerful substance [Descartes] |
2289 | Nothing apart from God could have essential existence, and such a being must be unique and eternal [Descartes] |
23341 | God created humans as spectators and interpreters of God's works [Epictetus] |
13465 | Only God is absolutely infinite [Cantor, by Hart,WD] |
2275 | It is self-evident that deception is a natural defect, so God could not be a deceiver [Descartes] |
23348 | Both god and the good bring benefits, so their true nature seems to be the same [Epictetus] |
3637 | Ideas in God's mind only have value if he makes it so [Descartes] |
2287 | Existence and God's essence are inseparable, like a valley and a mountain, or a triangle and its properties [Descartes] |
3640 | Possible existence is a perfection in the idea of a triangle [Descartes] |
2268 | One idea leads to another, but there must be an initial idea that contains the reality of all the others [Descartes] |
2274 | The idea of God in my mind is like the mark a craftsman puts on his work [Descartes] |
3639 | Necessary existence is a property which is uniquely part of God's essence [Descartes] |
2288 | I cannot think of a supremely perfect being without the supreme perfection of existence [Descartes] |
3638 | Existence is not a perfection; it is what makes perfection possible [Gassendi on Descartes] |
3632 | We mustn't worship God as an image because we have no idea of him [Hobbes on Descartes] |
3633 | We can never conceive of an infinite being [Gassendi on Descartes] |
5036 | Descartes cannot assume that a most perfect being exists without contradictions [Leibniz on Descartes] |
3634 | We can't prove a first cause from our inability to grasp infinity [Descartes] |
16712 | Atheism is an atrocious and intolerable crime in any country [Descartes] |
3660 | Atheism arises from empiricism, because God is intangible [Descartes] |
16772 | An angelic mind would not experience pain, even when connected to a human body [Descartes, by Pasnau] |
23360 | Each of the four elements in you is entirely scattered after death [Epictetus] |
3652 | I can't prove the soul is indestructible, only that it is separate from the mortal body [Descartes] |
3636 | God didn't give us good judgement even about our own lives [Gassendi on Descartes] |
2278 | Error arises because my faculty for judging truth is not infinite [Descartes] |
2277 | Since God does not wish to deceive me, my judgement won't make errors if I use it properly [Descartes] |
2281 | If we ask whether God's works are perfect, we must not take a narrow viewpoint, but look at the universe as a whole [Descartes] |