Combining Texts

All the ideas for 'Must We Believe in Set Theory?st1=George Boolos', 'Truth-making and Correspondence' and 'Physical Causation'

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25 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 / 1. Set Theory
The logic of ZF is classical first-order predicate logic with identity [Boolos]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
A few axioms of set theory 'force themselves on us', but most of them don't [Boolos]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
Naïve sets are inconsistent: there is no set for things that do not belong to themselves [Boolos]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
The iterative conception says sets are formed at stages; some are 'earlier', and must be formed first [Boolos]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Infinite natural numbers is as obvious as infinite sentences in English [Boolos]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities
Mathematics and science do not require very high orders of infinity [Boolos]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Mathematics isn't surprising, given that we experience many objects as abstract [Boolos]
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]
8. Modes of Existence / D. Universals / 1. Universals
It is lunacy to think we only see ink-marks, and not word-types [Boolos]
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
I am a fan of abstract objects, and confident of their existence [Boolos]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
We deal with abstract objects all the time: software, poems, mistakes, triangles.. [Boolos]
26. Natural Theory / C. Causation / 4. Naturalised causation
Physical causation consists in transference of conserved quantities [Dowe, by Mumford/Anjum]
Causation interaction is an exchange of conserved quantities, such as mass, energy or charge [Dowe, by Psillos]
26. Natural Theory / D. Laws of Nature / 9. Counterfactual Claims
Dowe commends the Conserved Quantity theory as it avoids mention of counterfactuals [Dowe, by Psillos]