Combining Texts

All the ideas for 'Varieties of Causation', 'Defending the Axioms' and 'World and Essence'

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22 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
17610 The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
17620 Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
17605 Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy]
17625 If two mathematical themes coincide, that suggest a single deep truth [Maddy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
17615 Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
17618 Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
17614 The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy]
9. Objects / A. Existence of Objects / 4. Impossible objects
16435 Plantinga proposes necessary existent essences as surrogates for the nonexistent things [Plantinga, by Stalnaker]
9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation
14655 The 'identity criteria' of a name are a group of essential and established facts [Plantinga]
9. Objects / A. Existence of Objects / 5. Individuation / d. Individuation by haecceity
14658 'Being Socrates' and 'being identical with Socrates' characterise Socrates, so they are among his properties [Plantinga]
9. Objects / D. Essence of Objects / 2. Types of Essence
14656 Does Socrates have essential properties, plus a unique essence (or 'haecceity') which entails them? [Plantinga]
9. Objects / D. Essence of Objects / 9. Essence and Properties
14654 Properties are 'trivially essential' if they are instantiated by every object in every possible world [Plantinga]
14653 X is essentially P if it is P in every world, or in every X-world, or in the actual world (and not ¬P elsewhere) [Plantinga]
14660 If a property is ever essential, can it only ever be an essential property? [Plantinga]
14661 Essences are instantiated, and are what entails a thing's properties and lack of properties [Plantinga]
9. Objects / D. Essence of Objects / 12. Essential Parts
8443 Mereological essentialism says an entity must have exactly those parts [Sosa]
9. Objects / F. Identity among Objects / 5. Self-Identity
14657 Does 'being identical with Socrates' name a property? I can think of no objections to it [Plantinga]
10. Modality / A. Necessity / 4. De re / De dicto modality
14652 'De re' modality is as clear as 'de dicto' modality, because they are logically equivalent [Plantinga]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / a. Conceivable as possible
14659 We can imagine being beetles or alligators, so it is possible we might have such bodies [Plantinga]
26. Natural Theory / C. Causation / 9. General Causation / b. Nomological causation
8442 What law would explain causation in the case of causing a table to come into existence? [Sosa]
26. Natural Theory / C. Causation / 9. General Causation / d. Causal necessity
8445 The necessitated is not always a result or consequence of the necessitator [Sosa]
8444 Where is the necessary causation in the three people being tall making everybody tall? [Sosa]