Combining Texts

All the ideas for 'The Philosophy of Logic', 'Guide to Ground' and 'The Structure of Paradoxes of Self-Reference'

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32 ideas

1. Philosophy / E. Nature of Metaphysics / 5. Metaphysics beyond Science
Realist metaphysics concerns what is real; naive metaphysics concerns natures of things [Fine,K]
3. Truth / B. Truthmakers / 3. Truthmaker Maximalism
Truths need not always have their source in what exists [Fine,K]
3. Truth / B. Truthmakers / 7. Making Modal Truths
If the truth-making relation is modal, then modal truths will be grounded in anything [Fine,K]
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Logical consequence is verification by a possible world within a truth-set [Fine,K]
5. Theory of Logic / L. Paradox / 1. Paradox
Typically, paradoxes are dealt with by dividing them into two groups, but the division is wrong [Priest,G]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / b. König's paradox
The 'least indefinable ordinal' is defined by that very phrase [Priest,G]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / c. Berry's paradox
'x is a natural number definable in less than 19 words' leads to contradiction [Priest,G]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / d. Richard's paradox
By diagonalization we can define a real number that isn't in the definable set of reals [Priest,G]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / c. Burali-Forti's paradox
The least ordinal greater than the set of all ordinals is both one of them and not one of them [Priest,G]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / e. Mirimanoff's paradox
The next set up in the hierarchy of sets seems to be both a member and not a member of it [Priest,G]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
There are Liar Pairs, and Liar Chains, which fit the same pattern as the basic Liar [Priest,G]
If you know that a sentence is not one of the known sentences, you know its truth [Priest,G]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
Very large sets should be studied in an 'if-then' spirit [Putnam]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
Indispensability strongly supports predicative sets, and somewhat supports impredicative sets [Putnam]
We must quantify over numbers for science; but that commits us to their existence [Putnam]
7. Existence / C. Structure of Existence / 1. Grounding / a. Nature of grounding
2+2=4 is necessary if it is snowing, but not true in virtue of the fact that it is snowing [Fine,K]
If you say one thing causes another, that leaves open that the 'other' has its own distinct reality [Fine,K]
An immediate ground is the next lower level, which gives the concept of a hierarchy [Fine,K]
'Strict' ground moves down the explanations, but 'weak' ground can move sideways [Fine,K]
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
Ground is best understood as a sentence operator, rather than a relation between predicates [Fine,K]
If grounding is a relation it must be between entities of the same type, preferably between facts [Fine,K]
7. Existence / C. Structure of Existence / 1. Grounding / c. Grounding and explanation
Only metaphysical grounding must be explained by essence [Fine,K]
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
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
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
Even a three-dimensionalist might identify temporal parts, in their thinking [Fine,K]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
Every necessary truth is grounded in the nature of something [Fine,K]
Each basic modality has its 'own' explanatory relation [Fine,K]
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
Is there metaphysical explanation (as well as causal), involving a constitutive form of determination? [Fine,K]
We explain by identity (what it is), or by truth (how things are) [Fine,K]
17. Mind and Body / D. Property Dualism / 5. Supervenience of mind
If mind supervenes on the physical, it may also explain the physical (and not vice versa) [Fine,K]