Combining Texts

All the ideas for 'Introduction to 'Properties'', 'Mathematical Physics' and 'Intuitionism and Formalism'

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10 ideas

2. Reason / B. Laws of Thought / 6. Ockham's Razor

4037	Ockham's Razor is the principle that we need reasons to believe in entities [Mellor/Oliver]

4. Formal Logic / E. Nonclassical Logics / 7. Paraconsistency

12452

Our dislike of contradiction in logic is a matter of psychology, not mathematics [Brouwer]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics

12451

Scientific laws largely rest on the results of counting and measuring [Brouwer]

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism

12454

Intuitionists only accept denumerable sets [Brouwer]

12453

Neo-intuitionism abstracts from the reuniting of moments, to intuit bare two-oneness [Brouwer]

8. Modes of Existence / B. Properties / 6. Categorical Properties

4027	Properties are respects in which particular objects may be alike or differ [Mellor/Oliver]

8. Modes of Existence / B. Properties / 12. Denial of Properties

4029	Nominalists ask why we should postulate properties at all [Mellor/Oliver]

18. Thought / E. Abstraction / 3. Abstracta by Ignoring

9567	Maths deals with quantities of physical significance, ignoring irrelevant features [Geroch]

18. Thought / E. Abstraction / 5. Abstracta by Negation

4039	Abstractions lack causes, effects and spatio-temporal locations [Mellor/Oliver]

19. Language / A. Nature of Meaning / 5. Meaning as Verification

10117

Intuitonists in mathematics worried about unjustified assertion, as well as contradiction [Brouwer, by George/Velleman]