Combining Texts

All the ideas for 'Causes and Counterfactuals', 'Structures and Structuralism in Phil of Maths' and 'Unpublished Notebooks 1884-85'

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54 ideas

1. Philosophy / C. History of Philosophy / 2. Ancient Philosophy / b. Pre-Socratic philosophy
All the major problems were formulated before Socrates [Nietzsche]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
What matters is how humans can be developed [Nietzsche]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
Thinkers might agree some provisional truths, as methodological assumptions [Nietzsche]
1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
Aristotle enjoyed the sham generalities of a system, as the peak of happiness! [Nietzsche]
1. Philosophy / H. Continental Philosophy / 3. Hermeneutics
Thoughts are uncertain, and are just occasions for interpretation [Nietzsche]
3. Truth / F. Semantic Truth / 2. Semantic Truth
While true-in-a-model seems relative, true-in-all-models seems not to be [Reck/Price]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
ZFC set theory has only 'pure' sets, without 'urelements' [Reck/Price]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
Mathematics is just accurate inferences from definitions, and doesn't involve objects [Nietzsche]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
Three types of variable in second-order logic, for objects, functions, and predicates/sets [Reck/Price]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
'Analysis' is the theory of the real numbers [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
Mereological arithmetic needs infinite objects, and function definitions [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
Peano Arithmetic can have three second-order axioms, plus '1' and 'successor' [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set-theory gives a unified and an explicit basis for mathematics [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Structuralism emerged from abstract algebra, axioms, and set theory and its structures [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / b. Varieties of structuralism
Relativist Structuralism just stipulates one successful model as its arithmetic [Reck/Price]
There are 'particular' structures, and 'universal' structures (what the former have in common) [Reck/Price]
Pattern Structuralism studies what isomorphic arithmetic models have in common [Reck/Price]
There are Formalist, Relativist, Universalist and Pattern structuralism [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Formalist Structuralism says the ontology is vacuous, or formal, or inference relations [Reck/Price]
Maybe we should talk of an infinity of 'possible' objects, to avoid arithmetic being vacuous [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / d. Platonist structuralism
Universalist Structuralism is based on generalised if-then claims, not one particular model [Reck/Price]
Universalist Structuralism eliminates the base element, as a variable, which is then quantified out [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
The existence of an infinite set is assumed by Relativist Structuralism [Reck/Price]
7. Existence / A. Nature of Existence / 3. Being / i. Deflating being
There is no 'being'; it is just the opposition to nothingness [Nietzsche]
7. Existence / D. Theories of Reality / 5. Naturalism
I only want thinking that is anchored in body, senses and earth [Nietzsche]
8. Modes of Existence / E. Nominalism / 6. Mereological Nominalism
A nominalist might avoid abstract objects by just appealing to mereological sums [Reck/Price]
11. Knowledge Aims / A. Knowledge / 2. Understanding
We can only understand through concepts, which subsume particulars in generalities [Nietzsche]
12. Knowledge Sources / A. A Priori Knowledge / 11. Denying the A Priori
Strongly believed a priori is not certain; it may just be a feature of our existence [Nietzsche]
12. Knowledge Sources / B. Perception / 6. Inference in Perception
An affirmative belief is present in every basic sense impression [Nietzsche]
13. Knowledge Criteria / E. Relativism / 1. Relativism
We now have innumerable perspectives to draw on [Nietzsche]
15. Nature of Minds / C. Capacities of Minds / 1. Faculties
Mind is a mechanism of abstraction and simplification, aimed at control [Nietzsche]
16. Persons / C. Self-Awareness / 3. Limits of Introspection
A cognitive mechanism wanting to know itself is absurd! [Nietzsche]
16. Persons / E. Rejecting the Self / 1. Self as Indeterminate
A 'person' is just one possible abstraction from a bundle of qualities [Nietzsche]
16. Persons / F. Free Will / 6. Determinism / b. Fate
I have perfected fatalism, as recurrence and denial of the will [Nietzsche]
Fate is inspiring, if you understand you are part of it [Nietzsche]
18. Thought / D. Concepts / 2. Origin of Concepts / a. Origin of concepts
We start with images, then words, and then concepts, to which emotions attach [Nietzsche]
20. Action / C. Motives for Action / 4. Responsibility for Actions
Judging actions by intentions - like judging painters by their thoughts! [Nietzsche]
22. Metaethics / B. Value / 1. Nature of Value / a. Nature of value
Values need a perspective, of preserving some aspect of life [Nietzsche]
22. Metaethics / B. Value / 2. Values / g. Love
If you love something, it is connected with everything, so all must be affirmed as good [Nietzsche]
22. Metaethics / B. Value / 2. Values / i. Self-interest
Egoism should not assume that all egos are equal [Nietzsche]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / d. Virtue theory critique
After Socrates virtue is misunderstood, as good for all, not for individuals [Nietzsche]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
We contain multitudes of characters, which can brought into the open [Nietzsche]
23. Ethics / F. Existentialism / 8. Eternal Recurrence
Who can endure the thought of eternal recurrence? [Nietzsche]
If you want one experience repeated, you must want all of them [Nietzsche]
24. Political Theory / B. Nature of a State / 4. Citizenship
Humans are determined by community, so its preservation is their most valued drive [Nietzsche]
25. Social Practice / A. Freedoms / 1. Slavery
There is always slavery, whether we like it or not [Nietzsche]
25. Social Practice / E. Policies / 5. Education / d. Study of history
After history following God, or a people, or an idea, we now see it in terms of animals [Nietzsche]
26. Natural Theory / C. Causation / 1. Causation
Causal statements are used to explain, to predict, to control, to attribute responsibility, and in theories [Kim]
26. Natural Theory / C. Causation / 7. Eliminating causation
Cause and effect is a hypothesis, based on our supposed willing of actions [Nietzsche]
26. Natural Theory / C. Causation / 9. General Causation / c. Counterfactual causation
Many counterfactuals have nothing to do with causation [Kim, by Tooley]
Counterfactuals can express four other relations between events, apart from causation [Kim]
Causation is not the only dependency relation expressed by counterfactuals [Kim]
26. Natural Theory / D. Laws of Nature / 9. Counterfactual Claims
Many counterfactual truths do not imply causation ('if yesterday wasn't Monday, it isn't Tuesday') [Kim, by Psillos]
27. Natural Reality / D. Time / 1. Nature of Time / a. Absolute time
Having a sense of time presupposes absolute time [Nietzsche]