Combining Texts

All the ideas for 'To be is to be the value of a variable..', 'Truth-making and Correspondence' and 'Logicism in the 21st Century'

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28 ideas

3. Truth / A. Truth Problems / 2. Defining Truth
18365 If truths are just identical with facts, then truths will make themselves true [David]
3. Truth / B. Truthmakers / 2. Truthmaker Relation
18362 Examples show that truth-making is just non-symmetric, not asymmetric [David]
3. Truth / B. Truthmakers / 4. Truthmaker Necessitarianism
18360 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
18358 Two different propositions can have the same fact as truth-maker [David]
3. Truth / B. Truthmakers / 5. What Makes Truths / b. Objects make truths
18355 What matters is truth-making (not truth-makers) [David]
3. Truth / B. Truthmakers / 11. Truthmaking and Correspondence
18354 Correspondence is symmetric, while truth-making is taken to be asymmetric [David]
18356 Correspondence is an over-ambitious attempt to explain truth-making [David]
18363 Correspondence theorists see facts as the only truth-makers [David]
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
18364 Correspondence theory likes ideal languages, that reveal the structure of propositions [David]
3. Truth / C. Correspondence Truth / 2. Correspondence to Facts
18357 What makes a disjunction true is simpler than the disjunctive fact it names [David]
18359 One proposition can be made true by many different facts [David]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / a. Sets as existing
7785 The use of plurals doesn't commit us to sets; there do not exist individuals and collections [Boolos]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
10699 Does a bowl of Cheerios contain all its sets and subsets? [Boolos]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
10225 Monadic second-order logic might be understood in terms of plural quantifiers [Boolos, by Shapiro]
10736 Boolos showed how plural quantifiers can interpret monadic second-order logic [Boolos, by Linnebo]
10780 Any sentence of monadic second-order logic can be translated into plural first-order logic [Boolos, by Linnebo]
5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
10697 Identity is clearly a logical concept, and greatly enhances predicate calculus [Boolos]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
13671 Second-order quantifiers are just like plural quantifiers in ordinary language, with no extra ontology [Boolos, by Shapiro]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
10267 We should understand second-order existential quantifiers as plural quantifiers [Boolos, by Shapiro]
10698 Plural forms have no more ontological commitment than to first-order objects [Boolos]
5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification
7806 Boolos invented plural quantification [Boolos, by Benardete,JA]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle
8784 Neo-logicism founds arithmetic on Hume's Principle along with second-order logic [Hale/Wright]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / e. Caesar problem
8787 The Julius Caesar problem asks for a criterion for the concept of a 'number' [Hale/Wright]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
8788 Logicism is only noteworthy if logic has a privileged position in our ontology and epistemology [Hale/Wright]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
8783 Logicism might also be revived with a quantificational approach, or an abstraction-free approach [Hale/Wright]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / b. Commitment of quantifiers
10700 First- and second-order quantifiers are two ways of referring to the same things [Boolos]
8. Modes of Existence / A. Relations / 4. Formal Relations / a. Types of relation
18361 A reflexive relation entails that the relation can't be asymmetric [David]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
8786 One first-order abstraction principle is Frege's definition of 'direction' in terms of parallel lines [Hale/Wright]