Combining Texts

All the ideas for 'Mathematics without Numbers', 'The Theory of Objects' and 'From Stimulus to Science'

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10 ideas

2. Reason / B. Laws of Thought / 3. Non-Contradiction
6564 To affirm 'p and not-p' is to have mislearned 'and' or 'not' [Quine]
4. Formal Logic / E. Nonclassical Logics / 6. Free Logic
8250 So-called 'free logic' operates without existence assumptions [Meinong, by George/Van Evra]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
8698 Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
9557 Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
10263 Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
8719 There can be impossible and contradictory objects, if they can have properties [Meinong, by Friend]
9. Objects / A. Existence of Objects / 3. Objects in Thought
8971 There are objects of which it is true that there are no such objects [Meinong]
8718 Meinong says an object need not exist, but must only have properties [Meinong, by Friend]
9. Objects / A. Existence of Objects / 4. Impossible objects
7756 Meinong said all objects of thought (even self-contradictions) have some sort of being [Meinong, by Lycan]
15781 The objects of knowledge are far more numerous than objects which exist [Meinong]