Combining Philosophers

All the ideas for Luitzen E.J. Brouwer, Ned Markosian and Proclus

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25 ideas

1. Philosophy / G. Scientific Philosophy / 3. Scientism
People who use science to make philosophical points don't realise how philosophical science is [Markosian]
3. Truth / B. Truthmakers / 9. Making Past Truths
Presentism has the problem that if Socrates ceases to exist, so do propositions about him [Markosian]
4. Formal Logic / E. Nonclassical Logics / 7. Paraconsistency
Our dislike of contradiction in logic is a matter of psychology, not mathematics [Brouwer]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
For intuitionists excluded middle is an outdated historical convention [Brouwer]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
Mathematics is a mental activity which does not use language [Brouwer, by Bostock]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / h. Reals from Cauchy
Brouwer saw reals as potential, not actual, and produced by a rule, or a choice [Brouwer, by Shapiro]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
Scientific laws largely rest on the results of counting and measuring [Brouwer]
Brouwer regards the application of mathematics to the world as somehow 'wicked' [Brouwer, by Bostock]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
Intuitionists only accept denumerable sets [Brouwer]
Neo-intuitionism abstracts from the reuniting of moments, to intuit bare two-oneness [Brouwer]
Intuitionist mathematics deduces by introspective construction, and rejects unknown truths [Brouwer]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
Possible worlds must be abstract, because two qualitatively identical worlds are just one world [Markosian]
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
Geometrical proofs do not show causes, as when we prove a triangle contains two right angles [Proclus]
18. Thought / E. Abstraction / 1. Abstract Thought
The origin of geometry started in sensation, then moved to calculation, and then to reason [Proclus]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
'Grabby' truth conditions first select their object, unlike 'searchy' truth conditions [Markosian]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Intuitonists in mathematics worried about unjustified assertion, as well as contradiction [Brouwer, by George/Velleman]
27. Natural Reality / D. Time / 1. Nature of Time / h. Presentism
Presentism is the view that only present objects exist [Markosian]
Presentism says if objects don't exist now, we can't have attitudes to them or relations with them [Markosian]
Presentism seems to entail that we cannot talk about other times [Markosian]
Serious Presentism says things must exist to have relations and properties; Unrestricted version denies this [Markosian]
Maybe Presentists can refer to the haecceity of a thing, after the thing itself disappears [Markosian]
Maybe Presentists can paraphrase singular propositions about the past [Markosian]
Special Relativity denies the absolute present which Presentism needs [Markosian]
27. Natural Reality / D. Time / 2. Passage of Time / k. Temporal truths
Objects in the past, like Socrates, are more like imaginary objects than like remote spatial objects [Markosian]
People are mistaken when they think 'Socrates was a philosopher' says something [Markosian]