Combining Texts

All the ideas for 'works', 'Mathematics without Foundations' and 'Intrinsic and Extrinsic Properties'

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12 ideas

3. Truth / B. Truthmakers / 4. Truthmaker Necessitarianism
Give up objects necessitating truths, and say their natures cause the truths? [Cameron]
3. Truth / B. Truthmakers / 5. What Makes Truths / c. States of affairs make truths
Truthmaker requires a commitment to tropes or states of affairs, for contingent truths [Cameron]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / d. Infinite Sets
We understand some statements about all sets [Putnam]
5. Theory of Logic / D. Assumptions for Logic / 3. Contradiction
Contradiction is not a sign of falsity, nor lack of contradiction a sign of truth [Pascal]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
I do not believe mathematics either has or needs 'foundations' [Putnam]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
It is conceivable that the axioms of arithmetic or propositional logic might be changed [Putnam]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
Maybe mathematics is empirical in that we could try to change it [Putnam]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
Science requires more than consistency of mathematics [Putnam]
7. Existence / D. Theories of Reality / 4. Anti-realism
You can't deny a hypothesis a truth-value simply because we may never know it! [Putnam]
8. Modes of Existence / B. Properties / 4. Intrinsic Properties
Essentialists say intrinsic properties arise from what the thing is, irrespective of surroundings [Cameron]
An object's intrinsic properties are had in virtue of how it is, independently [Cameron]
9. Objects / E. Objects over Time / 1. Objects over Time
Most criteria for identity over time seem to leave two later objects identical to the earlier one [Cameron]