Combining Texts

All the ideas for 'Logic (Port-Royal Art of Thinking)', 'Introduction: Truth and Truth-Making' and 'Elements of Set Theory'

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29 ideas

3. Truth / B. Truthmakers / 1. For Truthmakers
18335 There are five problems which the truth-maker theory might solve [Rami]
18334 The truth-maker idea is usually justified by its explanatory power, or intuitive appeal [Rami]
3. Truth / B. Truthmakers / 2. Truthmaker Relation
18339 The truth-making relation can be one-to-one, or many-to-many [Rami]
3. Truth / B. Truthmakers / 3. Truthmaker Maximalism
18333 Central idea: truths need truthmakers; and possibly all truths have them, and makers entail truths [Rami]
3. Truth / B. Truthmakers / 4. Truthmaker Necessitarianism
18342 Most theorists say that truth-makers necessitate their truths [Rami]
3. Truth / B. Truthmakers / 5. What Makes Truths / a. What makes truths
18340 It seems best to assume different kinds of truth-maker, such as objects, facts, tropes, or events [Rami]
3. Truth / B. Truthmakers / 5. What Makes Truths / c. States of affairs make truths
18341 Truth-makers seem to be states of affairs (plus optional individuals), or individuals and properties [Rami]
3. Truth / B. Truthmakers / 5. What Makes Truths / d. Being makes truths
18346 'Truth supervenes on being' only gives necessary (not sufficient) conditions for contingent truths [Rami]
18345 'Truth supervenes on being' avoids entities as truth-makers for negative truths [Rami]
3. Truth / B. Truthmakers / 7. Making Modal Truths
18343 Maybe a truth-maker also works for the entailments of the given truth [Rami]
3. Truth / B. Truthmakers / 11. Truthmaking and Correspondence
18338 Truth-making is usually internalist, but the correspondence theory is externalist [Rami]
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
18337 Correspondence theories assume that truth is a representation relation [Rami]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
18347 Deflationist truth is an infinitely disjunctive property [Rami]
4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
18350 Truth-maker theorists should probably reject the converse Barcan formula [Rami]
4. Formal Logic / F. Set Theory ST / 2. Mechanics of Set Theory / b. Terminology of ST
13201 ∈ says the whole set is in the other; ⊆ says the members of the subset are in the other [Enderton]
13204 The 'ordered pair' <x,y> is defined to be {{x}, {x,y}} [Enderton]
13206 A 'linear or total ordering' must be transitive and satisfy trichotomy [Enderton]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
13200 Note that {Φ} =/= Φ, because Φ ∈ {Φ} but Φ ∉ Φ [Enderton]
13199 The empty set may look pointless, but many sets can be constructed from it [Enderton]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
13203 The singleton is defined using the pairing axiom (as {x,x}) [Enderton]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / h. Axiom of Replacement VII
13202 Fraenkel added Replacement, to give a theory of ordinal numbers [Enderton]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
13205 We can only define functions if Choice tells us which items are involved [Enderton]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / b. Levels of abstraction
10502 We can rise by degrees through abstraction, with higher levels representing more things [Arnauld,A/Nicole,P]
8. Modes of Existence / A. Relations / 2. Internal Relations
18336 Internal relations depend either on the existence of the relata, or on their properties [Rami]
12. Knowledge Sources / B. Perception / 3. Representation
18258 We can only know the exterior world via our ideas [Arnauld,A/Nicole,P]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
16784 Forms make things distinct and explain the properties, by pure form, or arrangement of parts [Arnauld,A/Nicole,P]
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
10499 We know by abstraction because we only understand composite things a part at a time [Arnauld,A/Nicole,P]
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
10501 A triangle diagram is about all triangles, if some features are ignored [Arnauld,A/Nicole,P]
15. Nature of Minds / C. Capacities of Minds / 6. Idealisation
10500 No one denies that a line has width, but we can just attend to its length [Arnauld,A/Nicole,P]