Combining Texts

All the ideas for 'Essays on Intellectual Powers: Conception', 'Reply to Professor Marcus' and 'What Numbers Are'

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7 ideas

5. Theory of Logic / G. Quantification / 4. Substitutional Quantification

10801

Either reference really matters, or we don't need to replace it with substitutions [Quine]

5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems

17813

Löwenheim-Skolem says any theory with a true interpretation has a model in the natural numbers [White,NP]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure

17812

Finite cardinalities don't need numbers as objects; numerical quantifiers will do [White,NP]

9. Objects / D. Essence of Objects / 4. Essence as Definition

23647

Objects have an essential constitution, producing its qualities, which we are too ignorant to define [Reid]

10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / b. Conceivable but impossible

11958

Impossibilites are easily conceived in mathematics and geometry [Reid, by Molnar]

19. Language / B. Reference / 1. Reference theories

23646

Reference is by name, or a term-plus-circumstance, or ostensively, or by description [Reid]

19. Language / B. Reference / 3. Direct Reference / c. Social reference

23645

A word's meaning is the thing conceived, as fixed by linguistic experts [Reid]