Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'The Foundations of Mathematics' and 'The Metaphysics of Properties'

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38 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
A metaphysics has an ontology (objects) and an ideology (expressed ideas about them) [Oliver]
2. Reason / B. Laws of Thought / 6. Ockham's Razor
Ockham's Razor has more content if it says believe only in what is causal [Oliver]
3. Truth / B. Truthmakers / 7. Making Modal Truths
Necessary truths seem to all have the same truth-maker [Oliver]
3. Truth / B. Truthmakers / 12. Rejecting Truthmakers
Slingshot Argument: seems to prove that all sentences have the same truth-maker [Oliver]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
Infinity: there is an infinity of distinguishable individuals [Ramsey]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
Reducibility: to every non-elementary function there is an equivalent elementary function [Ramsey]
5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
Either 'a = b' vacuously names the same thing, or absurdly names different things [Ramsey]
5. Theory of Logic / L. Paradox / 1. Paradox
Contradictions are either purely logical or mathematical, or they involved thought and language [Ramsey]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Formalists neglect content, but the logicists have focused on generalizations, and neglected form [Ramsey]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalism is hopeless, because it focuses on propositions and ignores concepts [Ramsey]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / c. Commitment of predicates
Accepting properties by ontological commitment tells you very little about them [Oliver]
Reference is not the only way for a predicate to have ontological commitment [Oliver]
8. Modes of Existence / B. Properties / 1. Nature of Properties
There are four conditions defining the relations between particulars and properties [Oliver]
If properties are sui generis, are they abstract or concrete? [Oliver]
8. Modes of Existence / B. Properties / 2. Need for Properties
There are just as many properties as the laws require [Oliver]
8. Modes of Existence / B. Properties / 3. Types of Properties
We have four options, depending whether particulars and properties are sui generis or constructions [Oliver]
8. Modes of Existence / B. Properties / 10. Properties as Predicates
The expressions with properties as their meanings are predicates and abstract singular terms [Oliver]
There are five main semantic theories for properties [Oliver]
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
Tropes are not properties, since they can't be instantiated twice [Oliver]
The property of redness is the maximal set of the tropes of exactly similar redness [Oliver]
The orthodox view does not allow for uninstantiated tropes [Oliver]
Maybe concrete particulars are mereological wholes of abstract particulars [Oliver]
8. Modes of Existence / B. Properties / 13. Tropes / b. Critique of tropes
Tropes can overlap, and shouldn't be splittable into parts [Oliver]
8. Modes of Existence / D. Universals / 1. Universals
'Structural universals' methane and butane are made of the same universals, carbon and hydrogen [Oliver]
8. Modes of Existence / D. Universals / 3. Instantiated Universals
Located universals are wholly present in many places, and two can be in the same place [Oliver]
Aristotle's instantiated universals cannot account for properties of abstract objects [Oliver]
If universals ground similarities, what about uniquely instantiated universals? [Oliver]
8. Modes of Existence / D. Universals / 4. Uninstantiated Universals
Uninstantiated universals seem to exist if they themselves have properties [Oliver]
Uninstantiated properties are useful in philosophy [Oliver]
8. Modes of Existence / D. Universals / 6. Platonic Forms / b. Partaking
Instantiation is set-membership [Oliver]
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
Nominalism can reject abstractions, or universals, or sets [Oliver]
9. Objects / B. Unity of Objects / 1. Unifying an Object / b. Unifying aggregates
Things can't be fusions of universals, because two things could then be one thing [Oliver]
Abstract sets of universals can't be bundled to make concrete things [Oliver]
10. Modality / C. Sources of Modality / 5. Modality from Actuality
Science is modally committed, to disposition, causation and law [Oliver]
11. Knowledge Aims / A. Knowledge / 4. Belief / d. Cause of beliefs
I just confront the evidence, and let it act on me [Ramsey]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / a. Reliable knowledge
A belief is knowledge if it is true, certain and obtained by a reliable process [Ramsey]
18. Thought / D. Concepts / 4. Structure of Concepts / i. Conceptual priority
Conceptual priority is barely intelligible [Oliver]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]