Combining Texts

All the ideas for 'fragments/reports', 'Believing the Axioms I' and 'Truth-making and Correspondence'

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24 ideas

3. Truth / A. Truth Problems / 2. Defining Truth
If truths are just identical with facts, then truths will make themselves true [David]
3. Truth / B. Truthmakers / 2. Truthmaker Relation
Examples show that truth-making is just non-symmetric, not asymmetric [David]
3. Truth / B. Truthmakers / 4. Truthmaker Necessitarianism
It is assumed that a proposition is necessarily true if its truth-maker exists [David]
3. Truth / B. Truthmakers / 5. What Makes Truths / a. What makes truths
Two different propositions can have the same fact as truth-maker [David]
3. Truth / B. Truthmakers / 5. What Makes Truths / b. Objects make truths
What matters is truth-making (not truth-makers) [David]
3. Truth / B. Truthmakers / 11. Truthmaking and Correspondence
Correspondence is symmetric, while truth-making is taken to be asymmetric [David]
Correspondence is an over-ambitious attempt to explain truth-making [David]
Correspondence theorists see facts as the only truth-makers [David]
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
Correspondence theory likes ideal languages, that reveal the structure of propositions [David]
3. Truth / C. Correspondence Truth / 2. Correspondence to Facts
What makes a disjunction true is simpler than the disjunctive fact it names [David]
One proposition can be made true by many different facts [David]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
New axioms are being sought, to determine the size of the continuum [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / b. Axiom of Extensionality I
The Axiom of Extensionality seems to be analytic [Maddy]
Extensional sets are clearer, simpler, unique and expressive [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
The Axiom of Infinity states Cantor's breakthrough that launched modern mathematics [Maddy]
Infinite sets are essential for giving an account of the real numbers [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / g. Axiom of Powers VI
The Power Set Axiom is needed for, and supported by, accounts of the continuum [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
Efforts to prove the Axiom of Choice have failed [Maddy]
Modern views say the Choice set exists, even if it can't be constructed [Maddy]
A large array of theorems depend on the Axiom of Choice [Maddy]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
The Iterative Conception says everything appears at a stage, derived from the preceding appearances [Maddy]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
Limitation of Size is a vague intuition that over-large sets may generate paradoxes [Maddy]
8. Modes of Existence / A. Relations / 4. Formal Relations / a. Types of relation
A reflexive relation entails that the relation can't be asymmetric [David]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]