Combining Texts

All the ideas for 'Essays on Intellectual Powers: Conception', 'Counting and the Natural Numbers' and 'On Euclidean Geometry'

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8 ideas

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation

16886

The truth of an axiom must be independently recognisable [Frege]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers

17423

The essence of natural numbers must reflect all the functions they perform [Sicha]

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

17425

To know how many, you need a numerical quantifier, as well as equinumerosity [Sicha]

17424

Counting puts an initial segment of a serial ordering 1-1 with some other entities [Sicha]

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]