Combining Texts

All the ideas for 'De formis', 'Set Theory' and 'Guide to Ground'

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33 ideas

1. Philosophy / E. Nature of Metaphysics / 5. Metaphysics beyond Science
17275 Realist metaphysics concerns what is real; naive metaphysics concerns natures of things [Fine,K]
3. Truth / B. Truthmakers / 3. Truthmaker Maximalism
17282 Truths need not always have their source in what exists [Fine,K]
3. Truth / B. Truthmakers / 7. Making Modal Truths
17283 If the truth-making relation is modal, then modal truths will be grounded in anything [Fine,K]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / b. Axiom of Extensionality I
13030 Extensionality: ∀x ∀y (∀z (z ∈ x ↔ z ∈ y) → x = y) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / c. Axiom of Pairing II
13032 Pairing: ∀x ∀y ∃z (x ∈ z ∧ y ∈ z) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / d. Axiom of Unions III
13033 Union: ∀F ∃A ∀Y ∀x (x ∈ Y ∧ Y ∈ F → x ∈ A) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
13037 Infinity: ∃x (0 ∈ x ∧ ∀y ∈ x (S(y) ∈ x) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / g. Axiom of Powers VI
13038 Power Set: ∀x ∃y ∀z(z ⊂ x → z ∈ y) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / h. Axiom of Replacement VII
13034 Replacement: ∀x∈A ∃!y φ(x,y) → ∃Y ∀X∈A ∃y∈Y φ(x,y) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / i. Axiom of Foundation VIII
13039 Foundation:∀x(∃y(y∈x) → ∃y(y∈x ∧ ¬∃z(z∈x ∧ z∈y))) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
13036 Choice: ∀A ∃R (R well-orders A) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / k. Axiom of Existence
13029 Set Existence: ∃x (x = x) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / n. Axiom of Comprehension
13031 Comprehension: ∃y ∀x (x ∈ y ↔ x ∈ z ∧ φ) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L
13040 Constructibility: V = L (all sets are constructible) [Kunen]
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
17286 Logical consequence is verification by a possible world within a truth-set [Fine,K]
7. Existence / C. Structure of Existence / 1. Grounding / a. Nature of grounding
17272 2+2=4 is necessary if it is snowing, but not true in virtue of the fact that it is snowing [Fine,K]
17276 If you say one thing causes another, that leaves open that the 'other' has its own distinct reality [Fine,K]
17284 An immediate ground is the next lower level, which gives the concept of a hierarchy [Fine,K]
17285 'Strict' ground moves down the explanations, but 'weak' ground can move sideways [Fine,K]
17288 We learn grounding from what is grounded, not what does the grounding [Fine,K]
7. Existence / C. Structure of Existence / 1. Grounding / b. Relata of grounding
17281 If grounding is a relation it must be between entities of the same type, preferably between facts [Fine,K]
17280 Ground is best understood as a sentence operator, rather than a relation between predicates [Fine,K]
7. Existence / C. Structure of Existence / 1. Grounding / c. Grounding and explanation
17290 Only metaphysical grounding must be explained by essence [Fine,K]
17274 Philosophical explanation is largely by ground (just as cause is used in science) [Fine,K]
7. Existence / C. Structure of Existence / 1. Grounding / d. Grounding and reduction
17278 We can only explain how a reduction is possible if we accept the concept of ground [Fine,K]
7. Existence / D. Theories of Reality / 8. Facts / a. Facts
17287 Facts, such as redness and roundness of a ball, can be 'fused' into one fact [Fine,K]
9. Objects / E. Objects over Time / 5. Temporal Parts
17279 Even a three-dimensionalist might identify temporal parts, in their thinking [Fine,K]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
17273 Each basic modality has its 'own' explanatory relation [Fine,K]
17289 Every necessary truth is grounded in the nature of something [Fine,K]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / c. Primary qualities
16719 The primary qualities are mixed to cause secondary qualities [Burley]
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
17291 We explain by identity (what it is), or by truth (how things are) [Fine,K]
17271 Is there metaphysical explanation (as well as causal), involving a constitutive form of determination? [Fine,K]
17. Mind and Body / D. Property Dualism / 5. Supervenience of mind
17277 If mind supervenes on the physical, it may also explain the physical (and not vice versa) [Fine,K]