Combining Texts

All the ideas for 'Set Theory and related topics (2nd ed)', 'works' and 'The Limits of Contingency'

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23 ideas

4. Formal Logic / F. Set Theory ST / 3. Types of Set / e. Equivalence classes
8920 Equivalence relations are reflexive, symmetric and transitive, and classify similar objects [Lipschutz]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / c. Axiom of Pairing II
18851 Pairing (with Extensionality) guarantees an infinity of sets, just from a single element [Rosen]
7. Existence / A. Nature of Existence / 3. Being / a. Nature of Being
22121 The concept of being has only one meaning, whether talking of universals or of God [Duns Scotus, by Dumont]
22122 Being (not sensation or God) is the primary object of the intellect [Duns Scotus, by Dumont]
8. Modes of Existence / D. Universals / 4. Uninstantiated Universals
22125 Duns Scotus was a realist about universals [Duns Scotus, by Dumont]
9. Objects / A. Existence of Objects / 4. Impossible objects
18852 A Meinongian principle might say that there is an object for any modest class of properties [Rosen]
9. Objects / A. Existence of Objects / 5. Individuation / d. Individuation by haecceity
22127 Scotus said a substantial principle of individuation [haecceitas] was needed for an essence [Duns Scotus, by Dumont]
9. Objects / D. Essence of Objects / 2. Types of Essence
22126 Avicenna and Duns Scotus say essences have independent and prior existence [Duns Scotus, by Dumont]
10. Modality / A. Necessity / 5. Metaphysical Necessity
18849 Metaphysical necessity is absolute and universal; metaphysical possibility is very tolerant [Rosen]
18850 'Metaphysical' modality is the one that makes the necessity or contingency of laws of nature interesting [Rosen]
18858 Sets, universals and aggregates may be metaphysically necessary in one sense, but not another [Rosen]
18857 Standard Metaphysical Necessity: P holds wherever the actual form of the world holds [Rosen]
18856 Non-Standard Metaphysical Necessity: when ¬P is incompatible with the nature of things [Rosen]
10. Modality / A. Necessity / 6. Logical Necessity
18848 Something may be necessary because of logic, but is that therefore a special sort of necessity? [Rosen]
10. Modality / B. Possibility / 3. Combinatorial possibility
18855 Combinatorial theories of possibility assume the principles of combination don't change across worlds [Rosen]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / a. Conceivable as possible
18853 A proposition is 'correctly' conceivable if an ominiscient being could conceive it [Rosen]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
22129 Certainty comes from the self-evident, from induction, and from self-awareness [Duns Scotus, by Dumont]
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / b. Direct realism
22130 Scotus defended direct 'intuitive cognition', against the abstractive view [Duns Scotus, by Dumont]
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
22128 Augustine's 'illumination' theory of knowledge leads to nothing but scepticism [Duns Scotus, by Dumont]
16. Persons / F. Free Will / 2. Sources of Free Will
22131 The will retains its power for opposites, even when it is acting [Duns Scotus, by Dumont]
26. Natural Theory / D. Laws of Nature / 4. Regularities / b. Best system theory
18854 The MRL view says laws are the theorems of the simplest and strongest account of the world [Rosen]
28. God / A. Divine Nature / 2. Divine Nature
22123 The concept of God is the unique first efficient cause, final cause, and most eminent being [Duns Scotus, by Dumont]
28. God / B. Proving God / 3. Proofs of Evidence / a. Cosmological Proof
22124 We can't infer the infinity of God from creation ex nihilo [Duns Scotus, by Dumont]