Combining Texts

All the ideas for 'What is Cantor's Continuum Problem?st1=Kurt Gödel', 'Truth-making and Correspondence' and 'Mental Models'

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19 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
We perceive the objects of set theory, just as we perceive with our senses [Gödel]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L
Gödel proved the classical relative consistency of the axiom V = L [Gödel, by Putnam]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / a. Set theory paradoxes
Set-theory paradoxes are no worse than sense deception in physics [Gödel]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
The Continuum Hypothesis is not inconsistent with the axioms of set theory [Gödel, by Clegg]
If set theory is consistent, we cannot refute or prove the Continuum Hypothesis [Gödel, by Hart,WD]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
Basic mathematics is related to abstract elements of our empirical ideas [Gödel]
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]
14. Science / B. Scientific Theories / 7. Scientific Models
The models we use in reasoning may be more like perceptions than like language [Johnson-Laird]