Combining Texts

All the ideas for 'What Numbers Are', 'The Common-Sense View of Reality' and 'Set Theory and its Logic'

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9 ideas

1. Philosophy / E. Nature of Metaphysics / 2. Possibility of Metaphysics

20728

Metaphysics is hopeless with its present epistemology; common-sense realism is needed [Colvin]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility

21717

Reducibility undermines type ramification, and is committed to the existence of functions [Quine, by Linsky,B]

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]

7. Existence / D. Theories of Reality / 2. Realism

20726

We can only distinguish self from non-self if there is an inflexible external reality [Colvin]

20727

Common-sense realism rests on our interests and practical life [Colvin]

7. Existence / D. Theories of Reality / 4. Anti-realism

20729

Arguments that objects are unknowable or non-existent assume the knower's existence [Colvin]

20730

If objects are doubted because their appearances change, that presupposes one object [Colvin]

20731

The idea that everything is relations is contradictory; relations are part of the concept of things [Colvin]