126 ideas
| 2937 | What we cannot speak about we must pass over in silence [Wittgenstein] |
| 6870 | I say (contrary to Wittgenstein) that philosophy expresses what we thought we must be silent about [Ansell Pearson on Wittgenstein] |
| 2944 | If a question can be framed at all, it is also possible to answer it [Wittgenstein] |
| 9810 | The 'Tractatus' is a masterpiece of anti-philosophy [Badiou on Wittgenstein] |
| 23459 | This work solves all the main problems, but that has little value [Wittgenstein] |
| 23512 | Once you understand my book you will see that it is nonsensical [Wittgenstein] |
| 6429 | All complex statements can be resolved into constituents and descriptions [Wittgenstein] |
| 23492 | Our language is an aspect of biology, and so its inner logic is opaque [Wittgenstein] |
| 23510 | Most philosophical questions arise from failing to understand the logic of language [Wittgenstein] |
| 2938 | The limits of my language means the limits of my world [Wittgenstein] |
| 23499 | This book says we should either say it clearly, or shut up [Wittgenstein] |
| 23508 | Science is all the true propositions [Wittgenstein] |
| 17621 | What matters in mathematics is its objectivity, not the existence of the objects [Dummett] |
| 2939 | If a sign is useless it is meaningless; that is the point of Ockham's maxim [Wittgenstein] |
| 10910 | The best account of truth-making is isomorphism [Wittgenstein, by Mulligan/Simons/Smith] |
| 23462 | He says the world is the facts because it is the facts which fix all the truths [Wittgenstein, by Morris,M] |
| 18349 | All truths have truth-makers, but only atomic truths correspond to them [Wittgenstein, by Rami] |
| 10967 | Wittgenstein's picture theory is the best version of the correspondence theory of truth [Read on Wittgenstein] |
| 7087 | Language is [propositions-elementary propositions-names]; reality is [facts-states of affairs-objects] [Wittgenstein, by Grayling] |
| 4702 | The account of truth in the 'Tractatus' seems a perfect example of the correspondence theory [Wittgenstein, by O'Grady] |
| 7056 | Pictures reach out to or feel reality, touching at the edges, correlating in its parts [Wittgenstein] |
| 23483 | Proposition elements correlate with objects, but the whole picture does not correspond to a fact [Wittgenstein, by Morris,M] |
| 10537 | The ordered pairs <x,y> can be reduced to the class of sets of the form {{x},{x,y}} [Dummett] |
| 10542 | To associate a cardinal with each set, we need the Axiom of Choice to find a representative [Dummett] |
| 23502 | Logic fills the world, to its limits [Wittgenstein] |
| 23504 | Logic concerns everything that is subject to law; the rest is accident [Wittgenstein] |
| 6428 | Wittgenstein is right that logic is just tautologies [Wittgenstein, by Russell] |
| 11062 | Logic is a priori because it is impossible to think illogically [Wittgenstein] |
| 18277 | If q implies p, that is justified by q and p, not by some 'laws' of inference [Wittgenstein] |
| 18162 | The propositions of logic are analytic tautologies [Wittgenstein] |
| 7537 | Wittgenstein convinced Russell that logic is tautologies, not Platonic forms [Wittgenstein, by Monk] |
| 23496 | Two colours in the same place is ruled out by the logical structure of colour [Wittgenstein] |
| 18154 | The sign of identity is not allowed in 'Tractatus' [Wittgenstein, by Bostock] |
| 13429 | The identity sign is not essential in logical notation, if every sign has a different meaning [Wittgenstein, by Ramsey] |
| 18268 | Apparent logical form may not be real logical form [Wittgenstein] |
| 10905 | My fundamental idea is that the 'logical constants' do not represent [Wittgenstein] |
| 23493 | 'Not' isn't an object, because not-not-p would then differ from p [Wittgenstein] |
| 7784 | 'Object' is a pseudo-concept, properly indicated in logic by the variable x [Wittgenstein] |
| 23506 | Names are primitive, and cannot be analysed [Wittgenstein] |
| 7089 | A name is primitive, and its meaning is the object [Wittgenstein] |
| 9467 | Wittgenstein tried unsuccessfully to reduce quantifiers to conjunctions and disjunctions [Wittgenstein, by Jacquette] |
| 15089 | Logical proof just explicates complicated tautologies [Wittgenstein] |
| 13830 | Logical truths are just 'by-products' of the introduction rules for logical constants [Wittgenstein, by Hacking] |
| 19292 | Logic doesn't split into primitive and derived propositions; they all have the same status [Wittgenstein] |
| 10554 | Intuitionists find the Incompleteness Theorem unsurprising, since proof is intuitive, not formal [Dummett] |
| 18153 | A number is a repeated operation [Wittgenstein] |
| 18160 | The concept of number is just what all numbers have in common [Wittgenstein] |
| 18161 | The theory of classes is superfluous in mathematics [Wittgenstein] |
| 6849 | Wittgenstein hated logicism, and described it as a cancerous growth [Wittgenstein, by Monk] |
| 23509 | The logic of the world is shown by tautologies in logic, and by equations in mathematics [Wittgenstein] |
| 10552 | Intuitionism says that totality of numbers is only potential, but is still determinate [Dummett] |
| 13133 | The world is facts, not things. Facts determine the world, and the world divides into facts [Wittgenstein] |
| 7090 | The 'Tractatus' is an extreme example of 'Logical Atomism' [Wittgenstein, by Grayling] |
| 23464 | In atomic facts the objects hang together like chain links [Wittgenstein] |
| 23471 | The structure of an atomic fact is how its objects combine; this possibility is its form [Wittgenstein] |
| 21682 | If a proposition is elementary, no other elementary proposition contradicts it [Wittgenstein] |
| 22319 | Analysis must end in elementary propositions, which are combinations of names [Wittgenstein] |
| 21683 | Nothing can be inferred from an elementary proposition [Wittgenstein] |
| 10515 | Ostension is possible for concreta; abstracta can only be referred to via other objects [Dummett, by Hale] |
| 10544 | The concrete/abstract distinction seems crude: in which category is the Mistral? [Dummett] |
| 10546 | We don't need a sharp concrete/abstract distinction [Dummett] |
| 10540 | We can't say that light is concrete but radio waves abstract [Dummett] |
| 23473 | Do his existent facts constitute the world, or determine the world? [Morris,M on Wittgenstein] |
| 22311 | The world is determined by the facts, and there are no further facts [Wittgenstein] |
| 22313 | The existence of atomic facts is a positive fact, their non-existence a negative fact [Wittgenstein] |
| 22314 | On white paper a black spot is a positive fact and a white spot a negative fact [Wittgenstein] |
| 10548 | The context principle for names rules out a special philosophical sense for 'existence' [Dummett] |
| 10281 | The objects we recognise the world as containing depends on the structure of our language [Dummett] |
| 7969 | The order of numbers is an internal relation, not an external one [Wittgenstein] |
| 7968 | A relation is internal if it is unthinkable that its object should not possess it [Wittgenstein] |
| 10532 | We can understand universals by studying predication [Dummett] |
| 10534 | 'Nominalism' used to mean denial of universals, but now means denial of abstract objects [Dummett] |
| 23466 | Objects are the substance of the world [Wittgenstein] |
| 10541 | Concrete objects such as sounds and smells may not be possible objects of ostension [Dummett] |
| 10545 | Abstract objects may not cause changes, but they can be the subject of change [Dummett] |
| 10555 | If we can intuitively apprehend abstract objects, this makes them observable and causally active [Dummett] |
| 10543 | Abstract objects must have names that fall within the range of some functional expression [Dummett] |
| 10320 | If a genuine singular term needs a criterion of identity, we must exclude abstract nouns [Dummett, by Hale] |
| 10547 | Abstract objects can never be confronted, and need verbal phrases for reference [Dummett] |
| 10531 | There is a modern philosophical notion of 'object', first introduced by Frege [Dummett] |
| 23467 | Objects are simple [Wittgenstein] |
| 23468 | Apart from the facts, there is only substance [Wittgenstein] |
| 22321 | To know an object we must know the form and content of its internal properties [Wittgenstein, by Potter] |
| 6056 | Identity is not a relation between objects [Wittgenstein] |
| 22322 | You can't define identity by same predicates, because two objects with same predicates is assertable [Wittgenstein] |
| 6057 | Two things can't be identical, and self-identity is an empty concept [Wittgenstein] |
| 9442 | The only necessity is logical necessity [Wittgenstein] |
| 23495 | The tautologies of logic show the logic of language and the world [Wittgenstein] |
| 23487 | What is thinkable is possible [Wittgenstein] |
| 23470 | Each thing is in a space of possible facts [Wittgenstein] |
| 23507 | Unlike the modern view of a set of worlds, Wittgenstein thinks of a structured manifold of them [Wittgenstein, by White,RM] |
| 23469 | An imagined world must have something in common with the real world [Wittgenstein] |
| 11027 | To know an object you must know all its possible occurrences [Wittgenstein] |
| 23465 | The 'form' of an object is its possible roles in facts [Wittgenstein] |
| 12869 | Two objects may only differ in being different [Wittgenstein] |
| 23503 | Strict solipsism is pure realism, with the self as a mere point in surrounding reality [Wittgenstein] |
| 16907 | If the truth doesn't follow from self-evidence, then self-evidence cannot justify a truth [Wittgenstein] |
| 23479 | The Tractatus aims to reveal the necessities, without appealing to synthetic a priori truths [Wittgenstein, by Morris,M] |
| 23501 | There is no a priori order of things [Wittgenstein] |
| 7088 | Logic and maths can't say anything about the world, since, as tautologies, they are consistent with all realities [Wittgenstein, by Grayling] |
| 16909 | Logic is a priori because we cannot think illogically [Wittgenstein] |
| 23485 | No pictures are true a priori [Wittgenstein] |
| 6591 | Doubts can't exist if they are inexpressible or unanswerable [Wittgenstein] |
| 17665 | The 'Tractatus' is instrumentalist about laws of nature [Wittgenstein, by Armstrong] |
| 2941 | Induction accepts the simplest law that fits our experiences [Wittgenstein] |
| 17673 | The modern worldview is based on the illusion that laws explain nature [Wittgenstein] |
| 2940 | The subject stands outside our understanding of the world [Wittgenstein] |
| 23498 | The modern idea of the subjective soul is composite, and impossible [Wittgenstein] |
| 23475 | The form of a proposition must show why nonsense is unjudgeable [Wittgenstein] |
| 19168 | Concepts only have a 'functional character', because they map to truth values, not objects [Dummett, by Davidson] |
| 7084 | What can be said is what can be thought, so language shows the limits of thought [Wittgenstein, by Grayling] |
| 10549 | Since abstract objects cannot be picked out, we must rely on identity statements [Dummett] |
| 23482 | The 'form' of the picture is its possible combinations [Wittgenstein] |
| 8172 | To understand a proposition means to know what is the case if it is true [Wittgenstein] |
| 7086 | Good philosophy asserts science, and demonstrates the meaninglessness of metaphysics [Wittgenstein] |
| 10516 | A realistic view of reference is possible for concrete objects, but not for abstract objects [Dummett, by Hale] |
| 23511 | Propositions use old expressions for a new sense [Wittgenstein] |
| 23488 | Propositions are understood via their constituents [Wittgenstein] |
| 23486 | Pictures are possible situations in logical space [Wittgenstein] |
| 23497 | Solipsism is correct, but can only be shown, not said, by the limits of my personal language [Wittgenstein] |
| 23489 | We translate by means of proposition constituents, not by whole propositions [Wittgenstein] |
| 2943 | Ethics cannot be put into words [Wittgenstein] |
| 2942 | The sense of the world must lie outside the world [Wittgenstein] |
| 21730 | A 'field' is a property with a magnitude, distributed across all of space and time [Baggott] |
| 21731 | Fields can be 'scalar', or 'vector', or 'tensor', or 'spinor' [Baggott] |
| 21732 | The current standard model requires 61 particles [Baggott] |