Combining Texts

All the ideas for 'Defending the Axioms', 'Parerga and Paralipomena' and 'The Powers Metaphysics'

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54 ideas

1. Philosophy / E. Nature of Metaphysics / 5. Metaphysics beyond Science
Metaphysics studies the inexplicable ends of explanation [Schopenhauer]
1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis
Reductive analysis makes a concept clearer, by giving an alternative simpler set [Williams,NE]
2. Reason / E. Argument / 1. Argument
Promoting an ontology by its implied good metaphysic is an 'argument-by-display' [Williams,NE]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
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
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
Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy]
If two mathematical themes coincide, that suggest a single deep truth [Maddy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
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
Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy]
7. Existence / B. Change in Existence / 1. Nature of Change
Change exists, it is causal, and it needs an explanation [Williams,NE]
7. Existence / B. Change in Existence / 2. Processes
Processes don't begin or end; they just change direction unexpectedly [Williams,NE]
Processes are either strings of short unchanging states, or continuous and unreducible events [Williams,NE]
7. Existence / D. Theories of Reality / 1. Ontologies
The status quo is part of what exists, and so needs metaphysical explanation [Williams,NE]
A metaphysic is a set of wider explanations derived from a basic ontology [Williams,NE]
Humeans say properties are passive, possibility is vast, laws are descriptions, causation is weak [Williams,NE]
We shouldn't posit the existence of anything we have a word for [Williams,NE]
7. Existence / D. Theories of Reality / 2. Realism
For me the objective thing-in-itself is the will [Schopenhauer]
8. Modes of Existence / C. Powers and Dispositions / 1. Powers
Powers are 'multi-track' if they can produce a variety of manifestations [Williams,NE]
Every possible state of affairs is written into its originating powers [Williams,NE]
Naming powers is unwise, because that it usually done by a single manifestation [Williams,NE]
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
Fundamental physics describes everything in terms of powers [Williams,NE]
8. Modes of Existence / C. Powers and Dispositions / 5. Powers and Properties
Rather than pure powers or pure categoricals, I favour basics which are both at once [Williams,NE]
Powers are more complicated than properties which are always on display [Williams,NE]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / b. Dispositions and powers
There are basic powers, which underlie dispositions, potentialities, capacities etc [Williams,NE]
Dispositions are just useful descriptions, which are explained by underlying powers [Williams,NE]
9. Objects / A. Existence of Objects / 1. Physical Objects
If objects are property bundles, the properties need combining powers [Williams,NE]
9. Objects / E. Objects over Time / 4. Four-Dimensionalism
Four-Dimensional is Perdurantism (temporal parts), plus Eternalism [Williams,NE]
11. Knowledge Aims / A. Knowledge / 3. Value of Knowledge
Knowledge is not power! Ignorant people possess supreme authority [Schopenhauer]
12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
A priori propositions are those we could never be seriously motivated to challenge [Schopenhauer]
14. Science / D. Explanation / 1. Explanation / a. Explanation
All knowledge and explanation rests on the inexplicable [Schopenhauer]
15. Nature of Minds / B. Features of Minds / 2. Unconscious Mind
Half our thinking is unconscious, and we reach conclusions while unaware of premises [Schopenhauer]
16. Persons / F. Free Will / 6. Determinism / a. Determinism
We don't control our own thinking [Schopenhauer]
18. Thought / D. Concepts / 2. Origin of Concepts / b. Empirical concepts
All of our concepts are borrowed from perceptual knowledge [Schopenhauer]
21. Aesthetics / A. Aesthetic Experience / 1. Aesthetics
Aesthetics concerns how we can take pleasure in an object, with no reference to the will [Schopenhauer]
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
The beautiful is a perception of Plato's Forms, which eliminates the will [Schopenhauer]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
Man is essentially a dreadful wild animal [Schopenhauer]
22. Metaethics / C. The Good / 3. Pleasure / c. Value of pleasure
Pleasure is weaker, and pain stronger, than we expect [Schopenhauer]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
A man's character can be learned from a single characteristic action [Schopenhauer]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The five Chinese virtues: pity, justice, politeness, wisdom, honesty [Schopenhauer]
Buddhists wisely start with the cardinal vices [Schopenhauer]
23. Ethics / F. Existentialism / 4. Boredom
Boredom is only felt by those clever enough to need activity [Schopenhauer]
Human life is a mistake, shown by boredom, which is direct awareness of the fact [Schopenhauer]
24. Political Theory / B. Nature of a State / 1. Purpose of a State
The state only exists to defend citizens, from exterior threats, and from one another [Schopenhauer]
25. Social Practice / A. Freedoms / 1. Slavery
Poverty and slavery are virtually two words for the same thing [Schopenhauer]
25. Social Practice / A. Freedoms / 3. Free speech
The freedom of the press to sell poison outweighs its usefulness [Schopenhauer]
25. Social Practice / F. Life Issues / 4. Suicide
If suicide was quick and easy, most people would have done it by now [Schopenhauer]
25. Social Practice / F. Life Issues / 5. Sexual Morality
Would humanity still exist if sex wasn't both desired and pleasurable? [Schopenhauer]
26. Natural Theory / C. Causation / 1. Causation
Causation needs to explain stasis, as well as change [Williams,NE]
Causation is the exercise of powers [Williams,NE]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
If causes and effects overlap, that makes changes impossible [Williams,NE]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / c. Essence and laws
Powers contain lawlike features, pointing to possible future states [Williams,NE]
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
Only religion introduces serious issues to uneducated people [Schopenhauer]
29. Religion / D. Religious Issues / 3. Problem of Evil / a. Problem of Evil
The Creator created the possibilities for worlds, so should have made a better one than this possible [Schopenhauer]