226 ideas
9199 | Wisdom for one instant is as good as wisdom for eternity [Chrysippus] |
20853 | Wise men should try to participate in politics, since they are a good influence [Chrysippus, by Diog. Laertius] |
23889 | Among the Greeks Aristotle is the only philosopher in the modern style [Weil] |
23881 | All thought about values is philosophical, and thought about anything else is not philosophy [Weil] |
20772 | Three branches of philosophy: first logic, second ethics, third physics (which ends with theology) [Chrysippus] |
23885 | Philosophy aims to change the soul, not to accumulate knowledge [Weil] |
23886 | Systems are not unique to each philosopher. The platonist tradition is old and continuous [Weil] |
18835 | Logic doesn't have a metaphysical basis, but nor can logic give rise to the metaphysics [Rumfitt] |
5969 | Chrysippus said the uncaused is non-existent [Chrysippus, by Plutarch] |
23884 | Truth is a value of thought [Weil] |
18819 | The idea that there are unrecognised truths is basic to our concept of truth [Rumfitt] |
23877 | Most people won't question an idea's truth if they depend on it [Weil] |
23755 | Genius and love of truth are always accompanied by great humility [Weil] |
23825 | We seek truth only because it is good [Weil] |
23853 | Truth is not a object we love - it is the radiant manifestation of reality [Weil] |
18826 | 'True at a possibility' means necessarily true if what is said had obtained [Rumfitt] |
21388 | The causes of future true events must exist now, so they will happen because of destiny [Chrysippus, by Cicero] |
20780 | Graspable presentations are criteria of facts, and are molded according to their objects [Chrysippus, by Diog. Laertius] |
20793 | How could you ever know that the presentation is similar to the object? [Sext.Empiricus on Chrysippus] |
8077 | Stoic propositional logic is like chemistry - how atoms make molecules, not the innards of atoms [Chrysippus, by Devlin] |
18803 | Semantics for propositions: 1) validity preserves truth 2) non-contradition 3) bivalence 4) truth tables [Rumfitt] |
20791 | Chrysippus has five obvious 'indemonstrables' of reasoning [Chrysippus, by Diog. Laertius] |
12204 | The logic of metaphysical necessity is S5 [Rumfitt] |
18814 | 'Absolute necessity' would have to rest on S5 [Rumfitt] |
18798 | It is the second-order part of intuitionistic logic which actually negates some classical theorems [Rumfitt] |
18799 | Intuitionists can accept Double Negation Elimination for decidable propositions [Rumfitt] |
18830 | Most set theorists doubt bivalence for the Continuum Hypothesis, but still use classical logic [Rumfitt] |
18843 | The iterated conception of set requires continual increase in axiom strength [Rumfitt] |
18836 | A set may well not consist of its members; the empty set, for example, is a problem [Rumfitt] |
18837 | A set can be determinate, because of its concept, and still have vague membership [Rumfitt] |
18845 | If the totality of sets is not well-defined, there must be doubt about the Power Set Axiom [Rumfitt] |
18815 | Logic is higher-order laws which can expand the range of any sort of deduction [Rumfitt] |
11211 | If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt] |
9390 | Logic guides thinking, but it isn't a substitute for it [Rumfitt] |
18805 | Classical logic rules cannot be proved, but various lines of attack can be repelled [Rumfitt] |
18804 | The case for classical logic rests on its rules, much more than on the Principle of Bivalence [Rumfitt] |
18827 | If truth-tables specify the connectives, classical logic must rely on Bivalence [Rumfitt] |
12195 | Soundness in argument varies with context, and may be achieved very informally indeed [Rumfitt] |
12199 | There is a modal element in consequence, in assessing reasoning from suppositions [Rumfitt] |
12201 | We reject deductions by bad consequence, so logical consequence can't be deduction [Rumfitt] |
18813 | Logical consequence is a relation that can extended into further statements [Rumfitt] |
18808 | Normal deduction presupposes the Cut Law [Rumfitt] |
8078 | Modus ponens is one of five inference rules identified by the Stoics [Chrysippus, by Devlin] |
18840 | When faced with vague statements, Bivalence is not a compelling principle [Rumfitt] |
6023 | Every proposition is either true or false [Chrysippus, by Cicero] |
12194 | Contradictions include 'This is red and not coloured', as well as the formal 'B and not-B' [Rumfitt] |
11210 | Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt] |
11212 | The sense of a connective comes from primitively obvious rules of inference [Rumfitt] |
18802 | In specifying a logical constant, use of that constant is quite unavoidable [Rumfitt] |
12198 | Geometrical axioms in logic are nowadays replaced by inference rules (which imply the logical truths) [Rumfitt] |
18800 | Introduction rules give deduction conditions, and Elimination says what can be deduced [Rumfitt] |
18809 | Logical truths are just the assumption-free by-products of logical rules [Rumfitt] |
18807 | Monotonicity means there is a guarantee, rather than mere inductive support [Rumfitt] |
18842 | Maybe an ordinal is a property of isomorphic well-ordered sets, and not itself a set [Rumfitt] |
17462 | A single object must not be counted twice, which needs knowledge of distinctness (negative identity) [Rumfitt] |
18834 | Infinitesimals do not stand in a determinate order relation to zero [Rumfitt] |
18846 | Cantor and Dedekind aimed to give analysis a foundation in set theory (rather than geometry) [Rumfitt] |
17461 | Some 'how many?' answers are not predications of a concept, like 'how many gallons?' [Rumfitt] |
5992 | Chrysippus says action is the criterion for existence, which must be physical [Chrysippus, by Tieleman] |
23855 | Creation produced a network or web of determinations [Weil] |
21673 | There are simple and complex facts; the latter depend on further facts [Chrysippus, by Cicero] |
16652 | Stoics categories are Substrate, Quality, Disposition, and Relation [Chrysippus, by Pasnau] |
16058 | Dion and Theon coexist, but Theon lacks a foot. If Dion loses a foot, he ousts Theon? [Chrysippus, by Philo of Alexandria] |
9389 | Vague membership of sets is possible if the set is defined by its concept, not its members [Rumfitt] |
18839 | An object that is not clearly red or orange can still be red-or-orange, which sweeps up problem cases [Rumfitt] |
18838 | The extension of a colour is decided by a concept's place in a network of contraries [Rumfitt] |
16059 | Change of matter doesn't destroy identity - in Dion and Theon change is a condition of identity [Chrysippus, by Long/Sedley] |
14532 | A distinctive type of necessity is found in logical consequence [Rumfitt, by Hale/Hoffmann,A] |
18816 | Metaphysical modalities respect the actual identities of things [Rumfitt] |
12193 | Logical necessity is when 'necessarily A' implies 'not-A is contradictory' [Rumfitt] |
12200 | A logically necessary statement need not be a priori, as it could be unknowable [Rumfitt] |
12202 | Narrow non-modal logical necessity may be metaphysical, but real logical necessity is not [Rumfitt] |
18825 | S5 is the logic of logical necessity [Rumfitt] |
18824 | Since possibilities are properties of the world, calling 'red' the determination of a determinable seems right [Rumfitt] |
18828 | If two possibilities can't share a determiner, they are incompatible [Rumfitt] |
23900 | Chance is compatible with necessity, and the two occur together [Weil] |
12203 | If a world is a fully determinate way things could have been, can anyone consider such a thing? [Rumfitt] |
18821 | Possibilities are like possible worlds, but not fully determinate or complete [Rumfitt] |
18831 | Medieval logicians said understanding A also involved understanding not-A [Rumfitt] |
23888 | Knowledge is beyond question, as an unavoidable component of thinking [Weil] |
18820 | In English 'evidence' is a mass term, qualified by 'little' and 'more' [Rumfitt] |
1875 | Dogs show reason in decisions made by elimination [Chrysippus, by Sext.Empiricus] |
23747 | What is sacred is not a person, but the whole physical human being [Weil] |
20834 | Chrysippus allows evil to say it is fated, or even that it is rational and natural [Plutarch on Chrysippus] |
20833 | A swerve in the atoms would be unnatural, like scales settling differently for no reason [Chrysippus, by Plutarch] |
20808 | Everything is fated, either by continuous causes or by a supreme rational principle [Chrysippus, by Diog. Laertius] |
20835 | Chrysippus is wrong to believe in non-occurring future possibilities if he is a fatalist [Plutarch on Chrysippus] |
20836 | The Lazy Argument responds to fate with 'why bother?', but the bothering is also fated [Chrysippus, by Cicero] |
20837 | Fate is an eternal and fixed chain of causal events [Chrysippus] |
21679 | When we say events are fated by antecedent causes, do we mean principal or auxiliary causes? [Chrysippus] |
5971 | Destiny is only a predisposing cause, not a sufficient cause [Chrysippus, by Plutarch] |
23756 | The mind is imprisoned and limited by language, restricting our awareness of wider thoughts [Weil] |
18817 | We understand conditionals, but disagree over their truth-conditions [Rumfitt] |
20787 | A proposition is what can be asserted or denied on its own [Chrysippus] |
18829 | The truth grounds for 'not A' are the possibilities incompatible with truth grounds for A [Rumfitt] |
11214 | We learn 'not' along with affirmation, by learning to either affirm or deny a sentence [Rumfitt] |
20850 | Passions are judgements; greed thinks money is honorable, and likewise drinking and lust [Chrysippus, by Diog. Laertius] |
23878 | Weakness of will is the inadequacy of the original impetus to carry through the action [Weil] |
20869 | The highest degree of morality performs all that is appropriate, omitting nothing [Chrysippus] |
23832 | We both desire what is beautiful, and want it to remain as it is [Weil] |
23848 | The aesthete's treatment of beauty as amusement is sacreligious; beauty should nourish [Weil] |
23899 | The secret of art is that beauty is a just blend of unity and its opposite [Weil] |
23758 | Beauty is an attractive mystery, leaving nothing to be desired [Weil] |
23887 | Art (like philosophy) establishes a relation between world and self, and between oneself and others [Weil] |
23903 | When we admire a work, we see ourselves as its creator [Weil] |
3044 | Stoics say that beauty and goodness are equivalent and linked [Chrysippus, by Diog. Laertius] |
23898 | Those who say immorality is not an aesthetic criterion must show that all criteria are aesthetic [Weil] |
20838 | Fate initiates general causes, but individual wills and characters dictate what we do [Chrysippus] |
23854 | Beauty is the proof of what is good [Weil] |
23814 | Every human yearns for an unattainable transcendent good [Weil] |
23826 | Beauty, goodness and truth are only achieved by applying full attention [Weil] |
20813 | Human purpose is to contemplate and imitate the cosmos [Chrysippus] |
23824 | Where human needs are satisfied we find happiness, friendship and beauty [Weil] |
3045 | Stoics say justice is a part of nature, not just an invented principle [Chrysippus, by Diog. Laertius] |
23879 | In a violent moral disagreement, it can't be that both sides are just following social morality [Weil] |
20774 | Only nature is available to guide action and virtue [Chrysippus] |
23882 | Ends, unlike means, cannot be defined, which is why people tend to pursue means [Weil] |
23760 | All we need are the unity of justice, truth and beauty [Weil] |
20864 | Live in agreement, according to experience of natural events [Chrysippus] |
23883 | Minds essentially and always strive towards value [Weil] |
23748 | The sacred in every human is their expectation of good rather than evil [Weil] |
23759 | Everything which originates in love is beautiful [Weil] |
23762 | Evil is transmitted by comforts and pleasures, but mostly by doing harm to people [Weil] |
23833 | The good is a nothingness, and yet real [Weil] |
23808 | There are two goods - the absolute good we want, and the reachable opposite of evil [Weil] |
5972 | Living happily is nothing but living virtuously [Chrysippus, by Plutarch] |
1777 | Pleasure is not the good, because there are disgraceful pleasures [Chrysippus, by Diog. Laertius] |
5973 | Justice can be preserved if pleasure is a good, but not if it is the goal [Chrysippus, by Plutarch] |
20845 | There are shameful pleasures, and nothing shameful is good, so pleasure is not a good [Chrysippus, by Diog. Laertius] |
23865 | Morality would improve if people could pursue private interests [Weil] |
5967 | People need nothing except corn and water [Chrysippus, by Plutarch] |
5966 | All virtue is good, but not always praised (as in not lusting after someone ugly) [Chrysippus] |
20855 | Chrysippus says virtue can be lost (though Cleanthes says it is too secure for that) [Chrysippus, by Diog. Laertius] |
5970 | Chrysippus says nothing is blameworthy, as everything conforms with the best nature [Chrysippus, by Plutarch] |
23894 | The concept of character is at the centre of morality [Weil] |
23896 | We see our character as a restricting limit, but also as an unshakable support [Weil] |
23893 | We don't see character in a single moment, but only over a period of time [Weil] |
23895 | We modify our character by placing ourselves in situations, or by attending to what seems trivial [Weil] |
23837 | Respect is our only obligation, which can only be expressed through deeds, not words [Weil] |
23815 | We cannot equally respect what is unequal, so equal respect needs a shared ground [Weil] |
23834 | Friendship is partly universal - the love of a person is like the ideal of loving everyone [Weil] |
23823 | Life needs risks to avoid sickly boredom [Weil] |
20842 | Rational animals begin uncorrupted, but externals and companions are bad influences [Chrysippus, by Diog. Laertius] |
23844 | The most important human need is to have multiple roots [Weil] |
23838 | The need for order stands above all others, and is understood via the other needs [Weil] |
23836 | Obligations only bind individuals, not collectives [Weil] |
23840 | A citizen should be able to understand the whole of society [Weil] |
23822 | We all need to partipate in public tasks, and take some initiative [Weil] |
23843 | Even the poorest should feel collective ownership, and participation in grand display [Weil] |
23846 | Culture is an instrument for creating an ongoing succession of teachers [Weil] |
23857 | People in power always try to increase their power [Weil] |
23866 | In oppressive societies the scope of actual control is extended by a religion of power [Weil] |
23812 | Force is what turns man into a thing, and ultimately into a corpse [Weil] |
23831 | The essence of power is illusory prestige [Weil] |
23839 | A lifelong head of society should only be a symbol, not a ruler [Weil] |
23871 | No central authority can initiate decentralisation [Weil] |
23856 | Spontaneous movements are powerless against organised repression [Weil] |
23867 | After a bloody revolution the group which already had the power comes to the fore [Weil] |
23830 | A group is only dangerous if it endorses an abstract entity [Weil] |
23809 | Our only social duty is to try to limit evil [Weil] |
23870 | Decentralisation is only possible by co-operation between strong and weak - which is absurd [Weil] |
23829 | National leaders want to preserve necessary order - but always the existing order [Weil] |
23817 | We need both equality (to attend to human needs) and hierarchy (as a scale of responsibilities) [Weil] |
23842 | Party politics in a democracy can't avoid an anti-democratic party [Weil] |
23859 | True democracy is the subordination of society to the individual [Weil] |
23863 | Only individual people of good will can achieve social progress [Weil] |
23869 | In the least evil societies people can think, control community life, and be autonomous [Weil] |
23847 | Socialism tends to make a proletariat of the whole population [Weil] |
23750 | It is not more money which the wretched members of society need [Weil] |
23749 | The problem of the collective is not suppression of persons, but persons erasing themselves [Weil] |
23807 | The collective is the one and only object of false idolatry [Weil] |
23861 | Marx showed that capitalist oppression, because of competition, is unstoppable [Weil] |
23897 | Once money is the main aim, society needs everyone to think wealth is possible [Weil] |
23845 | The capitalists neglect the people and the nation, and even their own interests [Weil] |
23828 | National prestige consists of behaving as if you could beat the others in a war [Weil] |
23810 | Charity is the only love, and you can feel that for a country (a place with traditions), but not a nation [Weil] |
23868 | The pleasure of completing tasks motivates just as well as the whip of slavery [Weil] |
23811 | If effort is from necessity rather than for a good, it is slavery [Weil] |
23819 | Deliberate public lying should be punished [Weil] |
23818 | We have liberty in the space between nature and accepted authority [Weil] |
23901 | Relationships depend on equality, so unequal treatment kills them [Weil] |
23753 | People absurdly claim an equal share of things which are essentially privileged [Weil] |
23841 | By making money the sole human measure, inequality has become universal [Weil] |
23864 | Inequality could easily be mitigated, if it were not for the struggle for power [Weil] |
23751 | Rights are asserted contentiously, and need the backing of force [Weil] |
23752 | Giving centrality to rights stifles all impulses of charity [Weil] |
23835 | People have duties, and only have rights because of the obligations of others to them [Weil] |
23820 | People need personal and collective property, and a social class lacking property is shameful [Weil] |
23813 | Only people who understand force, and don't respect it, are capable of justice [Weil] |
23757 | The spirit of justice needs the full attention of truth, and that attention is love [Weil] |
23761 | Justice (concerning harm) is distinct from rights (concerning inequality) [Weil] |
20856 | Justice, the law, and right reason are natural and not conventional [Chrysippus, by Diog. Laertius] |
23852 | To punish people we must ourselves be innocent - but that undermines the desire to punish [Weil] |
23821 | Crime should be punished, to bring the perpetrator freely back to morality [Weil] |
23763 | Punishment aims at the good for men who don't desire it [Weil] |
23764 | The only thing in society worse than crime is repressive justice [Weil] |
23827 | Modern wars are fought in the name of empty words which are given capital letters [Weil] |
23880 | When war was a profession, customary morality justified any act of war [Weil] |
23850 | The soldier-civilian distinction should be abolished; every citizen is committed to a war [Weil] |
23858 | War is perpetuated by its continual preparations [Weil] |
23851 | Education is essentially motivation [Weil] |
23873 | Dividing history books into separate chapters is disastrous [Weil] |
23860 | Even if a drowning man is doomed, he should keep swimming to the last [Weil] |
1779 | We don't have obligations to animals as they aren't like us [Chrysippus, by Diog. Laertius] |
20857 | Justice is irrelevant to animals, because they are too unlike us [Chrysippus, by Diog. Laertius] |
20812 | Covers are for shields, and sheaths for swords; likewise, all in the cosmos is for some other thing [Chrysippus] |
21403 | The later Stoics identified the logos with an air-fire compound, called 'pneuma' [Chrysippus, by Long] |
20828 | Fire is a separate element, not formed with others (as was previously believed) [Chrysippus, by Stobaeus] |
5975 | Stoics say earth, air, fire and water are the primary elements [Chrysippus, by Plutarch] |
20819 | The past and the future subsist, but only the present exists [Chrysippus, by Plutarch] |
20818 | The present does not exist, so our immediate experience is actually part past and part future [Chrysippus, by Plutarch] |
20821 | Time is continous and infinitely divisible, so there cannot be a wholly present time [Chrysippus, by Stobaeus] |
3048 | Stoics say that God the creator is the perfection of all animals [Chrysippus, by Diog. Laertius] |
20773 | The origin of justice can only be in Zeus, and in nature [Chrysippus] |
23816 | Attention to a transcendent reality motivates a duty to foster the good of humanity [Weil] |
23754 | The only choice is between supernatural good, or evil [Weil] |
3042 | Stoics teach that law is identical with right reason, which is the will of Zeus [Chrysippus, by Diog. Laertius] |
5965 | The source of all justice is Zeus and the universal nature [Chrysippus] |
23892 | The only legitimate proof of God by order derives from beauty [Weil] |
1782 | Stoics teach that God is a unity, variously known as Mind, or Fate, or Jupiter [Chrysippus, by Diog. Laertius] |
23904 | The cruelty of the Old Testament put me off Christianity [Weil] |
23849 | Religion should quietly suffuse all human life with its light [Weil] |
23902 | I attach little importance to immortality, which is an undecidable fact, and irrelevant to us [Weil] |
20830 | Death can't separate soul from body, because incorporeal soul can't unite with body [Chrysippus] |
23765 | The soul is the intrinsic value of a human [Weil] |
21404 | There is a rationale in terrible disasters; they are useful to the whole, and make good possible [Chrysippus] |