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All the ideas for 'fragments/reports', 'Tractatus Logico-Philosophicus' and 'Continuity and Irrational Numbers'

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158 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
What we cannot speak about we must pass over in silence [Wittgenstein]
1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
I say (contrary to Wittgenstein) that philosophy expresses what we thought we must be silent about [Ansell Pearson on Wittgenstein]
1. Philosophy / D. Nature of Philosophy / 6. Hopes for Philosophy
If a question can be framed at all, it is also possible to answer it [Wittgenstein]
1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
The 'Tractatus' is a masterpiece of anti-philosophy [Badiou on Wittgenstein]
This work solves all the main problems, but that has little value [Wittgenstein]
Once you understand my book you will see that it is nonsensical [Wittgenstein]
1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
All complex statements can be resolved into constituents and descriptions [Wittgenstein]
Our language is an aspect of biology, and so its inner logic is opaque [Wittgenstein]
Most philosophical questions arise from failing to understand the logic of language [Wittgenstein]
The limits of my language means the limits of my world [Wittgenstein]
1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
This book says we should either say it clearly, or shut up [Wittgenstein]
1. Philosophy / G. Scientific Philosophy / 3. Scientism
Science is all the true propositions [Wittgenstein]
2. Reason / B. Laws of Thought / 2. Sufficient Reason
Everything happens necessarily, and for a reason [Democritus]
2. Reason / B. Laws of Thought / 6. Ockham's Razor
If a sign is useless it is meaningless; that is the point of Ockham's maxim [Wittgenstein]
3. Truth / B. Truthmakers / 2. Truthmaker Relation
The best account of truth-making is isomorphism [Wittgenstein, by Mulligan/Simons/Smith]
3. Truth / B. Truthmakers / 5. What Makes Truths / c. States of affairs make truths
He says the world is the facts because it is the facts which fix all the truths [Wittgenstein, by Morris,M]
3. Truth / B. Truthmakers / 11. Truthmaking and Correspondence
All truths have truth-makers, but only atomic truths correspond to them [Wittgenstein, by Rami]
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
Wittgenstein's picture theory is the best version of the correspondence theory of truth [Read on Wittgenstein]
Language is [propositions-elementary propositions-names]; reality is [facts-states of affairs-objects] [Wittgenstein, by Grayling]
The account of truth in the 'Tractatus' seems a perfect example of the correspondence theory [Wittgenstein, by O'Grady]
Pictures reach out to or feel reality, touching at the edges, correlating in its parts [Wittgenstein]
3. Truth / C. Correspondence Truth / 2. Correspondence to Facts
Proposition elements correlate with objects, but the whole picture does not correspond to a fact [Wittgenstein, by Morris,M]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Logic fills the world, to its limits [Wittgenstein]
Logic concerns everything that is subject to law; the rest is accident [Wittgenstein]
5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
Wittgenstein is right that logic is just tautologies [Wittgenstein, by Russell]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
Logic is a priori because it is impossible to think illogically [Wittgenstein]
5. Theory of Logic / B. Logical Consequence / 3. Deductive Consequence |-
If q implies p, that is justified by q and p, not by some 'laws' of inference [Wittgenstein]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
The propositions of logic are analytic tautologies [Wittgenstein]
5. Theory of Logic / C. Ontology of Logic / 2. Platonism in Logic
Wittgenstein convinced Russell that logic is tautologies, not Platonic forms [Wittgenstein, by Monk]
5. Theory of Logic / D. Assumptions for Logic / 3. Contradiction
Two colours in the same place is ruled out by the logical structure of colour [Wittgenstein]
5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
The sign of identity is not allowed in 'Tractatus' [Wittgenstein, by Bostock]
The identity sign is not essential in logical notation, if every sign has a different meaning [Wittgenstein, by Ramsey]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Apparent logical form may not be real logical form [Wittgenstein]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
My fundamental idea is that the 'logical constants' do not represent [Wittgenstein]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / c. not
'Not' isn't an object, because not-not-p would then differ from p [Wittgenstein]
5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
'Object' is a pseudo-concept, properly indicated in logic by the variable x [Wittgenstein]
5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
Names are primitive, and cannot be analysed [Wittgenstein]
5. Theory of Logic / F. Referring in Logic / 1. Naming / c. Names as referential
A name is primitive, and its meaning is the object [Wittgenstein]
5. Theory of Logic / G. Quantification / 1. Quantification
Wittgenstein tried unsuccessfully to reduce quantifiers to conjunctions and disjunctions [Wittgenstein, by Jacquette]
5. Theory of Logic / H. Proof Systems / 1. Proof Systems
Logical proof just explicates complicated tautologies [Wittgenstein]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truths are just 'by-products' of the introduction rules for logical constants [Wittgenstein, by Hacking]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Logic doesn't split into primitive and derived propositions; they all have the same status [Wittgenstein]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
We want the essence of continuity, by showing its origin in arithmetic [Dedekind]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
A cut between rational numbers creates and defines an irrational number [Dedekind]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
Two can't be a self-contained unit, because it would need to be one to do that [Democritus, by Aristotle]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
Arithmetic is just the consequence of counting, which is the successor operation [Dedekind]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
If x changes by less and less, it must approach a limit [Dedekind]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / a. Defining numbers
The concept of number is just what all numbers have in common [Wittgenstein]
A number is a repeated operation [Wittgenstein]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
The theory of classes is superfluous in mathematics [Wittgenstein]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Wittgenstein hated logicism, and described it as a cancerous growth [Wittgenstein, by Monk]
The logic of the world is shown by tautologies in logic, and by equations in mathematics [Wittgenstein]
7. Existence / A. Nature of Existence / 1. Nature of Existence
The world is facts, not things. Facts determine the world, and the world divides into facts [Wittgenstein]
7. Existence / A. Nature of Existence / 3. Being / a. Nature of Being
True Being only occurs when it is completely full, with atoms and no void [Democritus, by Aristotle]
7. Existence / A. Nature of Existence / 3. Being / d. Non-being
Being does not exist more than non-being [Democritus, by Aristotle]
The non-existent exists as much as the existent, because it has causal powers [Democritus]
7. Existence / A. Nature of Existence / 3. Being / g. Particular being
The only distinctions are Configuration (shape), Disposition (order) and Turning (position) [Democritus, by Aristotle]
7. Existence / B. Change in Existence / 1. Nature of Change
Nothing comes from non-existence, or passes into it [Democritus, by Diog. Laertius]
7. Existence / C. Structure of Existence / 6. Fundamentals / d. Logical atoms
The 'Tractatus' is an extreme example of 'Logical Atomism' [Wittgenstein, by Grayling]
In atomic facts the objects hang together like chain links [Wittgenstein]
The structure of an atomic fact is how its objects combine; this possibility is its form [Wittgenstein]
If a proposition is elementary, no other elementary proposition contradicts it [Wittgenstein]
Analysis must end in elementary propositions, which are combinations of names [Wittgenstein]
Nothing can be inferred from an elementary proposition [Wittgenstein]
7. Existence / D. Theories of Reality / 8. Facts / a. Facts
Do his existent facts constitute the world, or determine the world? [Morris,M on Wittgenstein]
7. Existence / D. Theories of Reality / 8. Facts / d. Negative facts
The world is determined by the facts, and there are no further facts [Wittgenstein]
The existence of atomic facts is a positive fact, their non-existence a negative fact [Wittgenstein]
On white paper a black spot is a positive fact and a white spot a negative fact [Wittgenstein]
7. Existence / E. Categories / 5. Category Anti-Realism
It is not possible to know what sort each thing is [Democritus]
8. Modes of Existence / A. Relations / 2. Internal Relations
The order of numbers is an internal relation, not an external one [Wittgenstein]
A relation is internal if it is unthinkable that its object should not possess it [Wittgenstein]
9. Objects / A. Existence of Objects / 1. Physical Objects
Objects are the substance of the world [Wittgenstein]
9. Objects / A. Existence of Objects / 5. Simples
Objects are simple [Wittgenstein]
9. Objects / B. Unity of Objects / 1. Unifying an Object / b. Unifying aggregates
Democritus denies reality to large objects, because atomic entities can't combine to produce new ones [Benardete,JA on Democritus]
9. Objects / B. Unity of Objects / 2. Substance / a. Substance
Apart from the facts, there is only substance [Wittgenstein]
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
Democritus said that substances could never be mixed, so atoms are the substances [Democritus, by Aristotle]
9. Objects / D. Essence of Objects / 9. Essence and Properties
To know an object we must know the form and content of its internal properties [Wittgenstein, by Potter]
9. Objects / F. Identity among Objects / 1. Concept of Identity
Identity is not a relation between objects [Wittgenstein]
9. Objects / F. Identity among Objects / 2. Defining Identity
You can't define identity by same predicates, because two objects with same predicates is assertable [Wittgenstein]
9. Objects / F. Identity among Objects / 5. Self-Identity
Two things can't be identical, and self-identity is an empty concept [Wittgenstein]
10. Modality / A. Necessity / 3. Types of Necessity
The only necessity is logical necessity [Wittgenstein]
10. Modality / D. Knowledge of Modality / 1. A Priori Necessary
The tautologies of logic show the logic of language and the world [Wittgenstein]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / a. Conceivable as possible
What is thinkable is possible [Wittgenstein]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
Each thing is in a space of possible facts [Wittgenstein]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
Unlike the modern view of a set of worlds, Wittgenstein thinks of a structured manifold of them [Wittgenstein, by White,RM]
An imagined world must have something in common with the real world [Wittgenstein]
10. Modality / E. Possible worlds / 3. Transworld Objects / a. Transworld identity
To know an object you must know all its possible occurrences [Wittgenstein]
The 'form' of an object is its possible roles in facts [Wittgenstein]
10. Modality / E. Possible worlds / 3. Transworld Objects / d. Haecceitism
Two objects may only differ in being different [Wittgenstein]
11. Knowledge Aims / C. Knowing Reality / 4. Solipsism
Strict solipsism is pure realism, with the self as a mere point in surrounding reality [Wittgenstein]
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
If the truth doesn't follow from self-evidence, then self-evidence cannot justify a truth [Wittgenstein]
12. Knowledge Sources / A. A Priori Knowledge / 5. A Priori Synthetic
The Tractatus aims to reveal the necessities, without appealing to synthetic a priori truths [Wittgenstein, by Morris,M]
There is no a priori order of things [Wittgenstein]
12. Knowledge Sources / A. A Priori Knowledge / 8. A Priori as Analytic
Logic and maths can't say anything about the world, since, as tautologies, they are consistent with all realities [Wittgenstein, by Grayling]
12. Knowledge Sources / A. A Priori Knowledge / 10. A Priori as Subjective
Logic is a priori because we cannot think illogically [Wittgenstein]
12. Knowledge Sources / A. A Priori Knowledge / 11. Denying the A Priori
No pictures are true a priori [Wittgenstein]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / a. Qualities in perception
Sensible qualities can't be real if they appear different to different creatures [Democritus, by Theophrastus]
12. Knowledge Sources / B. Perception / 3. Representation
Man is separated from reality [Democritus]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
All evidence comes from senses, so they are indispensable to the mind [Democritus]
Obscure knowledge belongs to the five senses, and genuine knowledge is the other type [Democritus]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
Doubts can't exist if they are inexpressible or unanswerable [Wittgenstein]
Democritus says there is either no truth, or it is concealed from us [Democritus, by Aristotle]
We actually know nothing, and opinions are mere flux [Democritus]
We in fact know nothing, but we each restructure our reality with beliefs [Democritus]
It is obviously impossible to understand the reality of each thing [Democritus]
We know nothing in reality; for truth lies in an abyss [Democritus]
14. Science / B. Scientific Theories / 3. Instrumentalism
The 'Tractatus' is instrumentalist about laws of nature [Wittgenstein, by Armstrong]
14. Science / C. Induction / 2. Aims of Induction
Induction accepts the simplest law that fits our experiences [Wittgenstein]
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
The modern worldview is based on the illusion that laws explain nature [Wittgenstein]
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
Democritus was devoted to discovering causal explanations [Democritus, by Eusebius]
15. Nature of Minds / A. Nature of Mind / 2. Psuche
Democritus says soul consists of smooth round bodies brought together in accidental collision [Democritus, by Cicero]
Atomists say soul has a rational part in the chest, and a diffused non-rational part [Democritus, by Aetius]
The soul is the same as the mind [Democritus, by Aristotle]
15. Nature of Minds / A. Nature of Mind / 7. Animal Minds
Animals have a share of reason [Democritus, by Porphyry]
15. Nature of Minds / A. Nature of Mind / 8. Brain
The directive centre is located in the whole head [Democritus, by Ps-Plutarch]
16. Persons / B. Nature of the Self / 4. Presupposition of Self
The subject stands outside our understanding of the world [Wittgenstein]
16. Persons / E. Rejecting the Self / 4. Denial of the Self
The modern idea of the subjective soul is composite, and impossible [Wittgenstein]
16. Persons / F. Free Will / 6. Determinism / a. Determinism
Democritus said everything happens of necessity, by natural motion of atoms [Democritus, by Cicero]
Some say there is a determinate cause for every apparently spontaneous event [Democritus, by Aristotle]
Democritus said atoms only move by their natural motions, which are therefore necessary [Democritus, by Cicero]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
Democritus says spherical atoms are fire, and constitute the soul [psuche] [Democritus, by Aristotle]
Democritus says the soul is the body, and thinking is thus the mixture of the body [Democritus, by Theophrastus]
18. Thought / A. Modes of Thought / 6. Judgement / b. Error
The form of a proposition must show why nonsense is unjudgeable [Wittgenstein]
18. Thought / D. Concepts / 5. Concepts and Language / a. Concepts and language
What can be said is what can be thought, so language shows the limits of thought [Wittgenstein, by Grayling]
19. Language / A. Nature of Meaning / 2. Meaning as Mental
The 'form' of the picture is its possible combinations [Wittgenstein]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
To understand a proposition means to know what is the case if it is true [Wittgenstein]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Good philosophy asserts science, and demonstrates the meaninglessness of metaphysics [Wittgenstein]
19. Language / C. Assigning Meanings / 4. Compositionality
Propositions use old expressions for a new sense [Wittgenstein]
Propositions are understood via their constituents [Wittgenstein]
19. Language / D. Propositions / 2. Abstract Propositions / b. Propositions as possible worlds
Pictures are possible situations in logical space [Wittgenstein]
19. Language / F. Communication / 4. Private Language
Solipsism is correct, but can only be shown, not said, by the limits of my personal language [Wittgenstein]
19. Language / F. Communication / 6. Interpreting Language / a. Translation
We translate by means of proposition constituents, not by whole propositions [Wittgenstein]
20. Action / C. Motives for Action / 1. Acting on Desires
Pleasure and pain guide our choices of good and bad [Democritus]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / b. Defining ethics
Ethics cannot be put into words [Wittgenstein]
22. Metaethics / B. Value / 1. Nature of Value / c. Objective value
The sense of the world must lie outside the world [Wittgenstein]
22. Metaethics / B. Value / 2. Values / d. Health
Wisdom creates a healthy passion-free soul [Democritus]
22. Metaethics / C. The Good / 1. Goodness / f. Good as pleasure
Happiness is identifying and separating the pleasures [Democritus, by Stobaeus]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / f. The Mean
Contentment comes from moderation and proportion in life [Democritus, by Stobaeus]
23. Ethics / C. Virtue Theory / 4. External Goods / c. Wealth
Democritus says wealth is a burden to the virtuous mind [Democritus, by Seneca]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / g. Atomism
Atoms cling together, until a stronger necessity disperses them [Democritus, by Aristotle]
Atoms are irregular, hooked, concave, convex, and many other shapes [Democritus, by Aristotle]
'Full' and 'Void' secularised Parmenides's Being and Not-being [Democritus, by Heisenberg]
Atomists say there are only three differences - in shape, arrangement and position [Democritus, by Aristotle]
Experiences are merely convention; only atoms and the void are real [Democritus]
If only atoms are real and the rest is convention, we wouldn't bother to avoid pain [Democritus, by Diogenes of Oen.]
When atoms touch, why don't they coalesce, like water drops? [Aristotle on Democritus]
Because appearance is infinitely varied, atomists assume infinitely many shapes of atom [Democritus, by Aristotle]
There could be an atom the size of the world [Democritus, by Ps-Plutarch]
There must be atoms, to avoid the absurdity of infinite division down to nothing [Democritus, by Aristotle]
The basic atoms are without qualities - which only arise from encounters between atoms [Democritus, by Galen]
If a cone is horizontally sliced the surfaces can't be equal, so it goes up in steps [Democritus]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
Greeks explained regularity by intellectual design, not by laws [Democritus, by Frede,M]
27. Natural Reality / C. Space / 1. Void
Growth and movement would not exist if there were no void to receive them [Democritus]
Democritus is wrong: in a void we wouldn't see a distant ant in exact detail [Aristotle on Democritus]
Movement is impossible in a void, because nothing can decide the direction of movement [Aristotle on Democritus]
27. Natural Reality / E. Cosmology / 1. Cosmology
There are unlimited worlds of varying sizes, some without life or water [Democritus, by Hippolytus]
28. God / B. Proving God / 3. Proofs of Evidence / c. Teleological Proof critique
Democritus said people imagined gods as the source of what awed or frightened them [Democritus, by Sext.Empiricus]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
The soul is destroyed with the body [Democritus, by Ps-Plutarch]