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All the ideas for 'works (fragments)', 'Frege's Concept of Numbers as Objects' and 'Unpublished Notebooks 1881-82'

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82 ideas

1. Philosophy / C. History of Philosophy / 1. History of Philosophy
We can only learn from philosophers of the past if we accept the risk of major misrepresentation [Wright,C]
2. Reason / A. Nature of Reason / 5. Objectivity
Seeing with other eyes is more egoism, but exploring other perspectives leads to objectivity [Nietzsche]
2. Reason / A. Nature of Reason / 9. Limits of Reason
All discussion is full of uncertainty and contradiction (Mode 11) [Agrippa, by Diog. Laertius]
All reasoning endlessly leads to further reasoning (Mode 12) [Agrippa, by Diog. Laertius]
Proofs often presuppose the thing to be proved (Mode 15) [Agrippa, by Diog. Laertius]
Reasoning needs arbitrary faith in preliminary hypotheses (Mode 14) [Agrippa, by Diog. Laertius]
2. Reason / C. Styles of Reason / 1. Dialectic
The best way to understand a philosophical idea is to defend it [Wright,C]
2. Reason / D. Definition / 7. Contextual Definition
The attempt to define numbers by contextual definition has been revived [Wright,C, by Fine,K]
3. Truth / A. Truth Problems / 3. Value of Truth
I tell the truth, even if it is repulsive [Nietzsche]
The pain in truth is when it destroys a belief [Nietzsche]
3. Truth / A. Truth Problems / 8. Subjective Truth
We don't create logic, time and space! The mind obeys laws because they are true [Nietzsche]
5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
An expression refers if it is a singular term in some true sentences [Wright,C, by Dummett]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
Number theory aims at the essence of natural numbers, giving their nature, and the epistemology [Wright,C]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
One could grasp numbers, and name sizes with them, without grasping ordering [Wright,C]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts
Instances of a non-sortal concept can only be counted relative to a sortal concept [Wright,C]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
Wright thinks Hume's Principle is more fundamental to cardinals than the Peano Axioms are [Wright,C, by Heck]
There are five Peano axioms, which can be expressed informally [Wright,C]
Number truths are said to be the consequence of PA - but it needs semantic consequence [Wright,C]
What facts underpin the truths of the Peano axioms? [Wright,C]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
Sameness of number is fundamental, not counting, despite children learning that first [Wright,C]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle
We derive Hume's Law from Law V, then discard the latter in deriving arithmetic [Wright,C, by Fine,K]
Frege has a good system if his 'number principle' replaces his basic law V [Wright,C, by Friend]
Wright says Hume's Principle is analytic of cardinal numbers, like a definition [Wright,C, by Heck]
It is 1-1 correlation of concepts, and not progression, which distinguishes natural number [Wright,C]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / e. Caesar problem
If numbers are extensions, Frege must first solve the Caesar problem for extensions [Wright,C]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Number platonism says that natural number is a sortal concept [Wright,C]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
We can't use empiricism to dismiss numbers, if numbers are our main evidence against empiricism [Wright,C]
6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
Treating numbers adjectivally is treating them as quantifiers [Wright,C]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
The Peano Axioms, and infinity of cardinal numbers, are logical consequences of how we explain cardinals [Wright,C]
The aim is to follow Frege's strategy to derive the Peano Axioms, but without invoking classes [Wright,C]
Wright has revived Frege's discredited logicism [Wright,C, by Benardete,JA]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Logicism seemed to fail by Russell's paradox, Gödel's theorems, and non-logical axioms [Wright,C]
The standard objections are Russell's Paradox, non-logical axioms, and Gödel's theorems [Wright,C]
7. Existence / A. Nature of Existence / 2. Types of Existence
The idea that 'exist' has multiple senses is not coherent [Wright,C]
7. Existence / A. Nature of Existence / 3. Being / i. Deflating being
To think about being we must have an opinion about what it is [Nietzsche]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / b. Commitment of quantifiers
Singular terms in true sentences must refer to objects; there is no further question about their existence [Wright,C]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
Contextually defined abstract terms genuinely refer to objects [Wright,C, by Dummett]
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
Sortal concepts cannot require that things don't survive their loss, because of phase sortals [Wright,C]
9. Objects / D. Essence of Objects / 1. Essences of Objects
Essences are fictions needed for beings who represent things [Nietzsche]
12. Knowledge Sources / E. Direct Knowledge / 4. Memory
There is no proof that we forget things - only that we can't recall [Nietzsche]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / a. Agrippa's trilemma
Agrippa's Trilemma: justification is infinite, or ends arbitrarily, or is circular [Agrippa, by Williams,M]
13. Knowledge Criteria / E. Relativism / 1. Relativism
Everything is perceived in relation to another thing (Mode 13) [Agrippa, by Diog. Laertius]
15. Nature of Minds / A. Nature of Mind / 5. Unity of Mind
Our inclinations would not conflict if we were a unity; we imagine unity for our multiplicity [Nietzsche]
16. Persons / E. Rejecting the Self / 4. Denial of the Self
We contain many minds, which fight for the 'I' of the mind [Nietzsche]
18. Thought / A. Modes of Thought / 1. Thought
Thoughts are signs (just as words are) [Nietzsche]
18. Thought / D. Concepts / 1. Concepts / a. Nature of concepts
A concept is only a sortal if it gives genuine identity [Wright,C]
'Sortal' concepts show kinds, use indefinite articles, and require grasping identities [Wright,C]
18. Thought / D. Concepts / 4. Structure of Concepts / b. Analysis of concepts
Entities fall under a sortal concept if they can be used to explain identity statements concerning them [Wright,C]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
If we can establish directions from lines and parallelism, we were already committed to directions [Wright,C]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
A milder claim is that understanding requires some evidence of that understanding [Wright,C]
19. Language / B. Reference / 1. Reference theories
If apparent reference can mislead, then so can apparent lack of reference [Wright,C]
19. Language / C. Assigning Meanings / 3. Predicates
We can accept Frege's idea of object without assuming that predicates have a reference [Wright,C]
19. Language / F. Communication / 1. Rhetoric
Great orators lead their arguments, rather than following them [Nietzsche]
19. Language / F. Communication / 5. Pragmatics / b. Implicature
The pragmatics of language is more comprehensible than the meaning [Nietzsche]
20. Action / A. Definition of Action / 1. Action Theory
Actions are just a release of force. They seize on something, which becomes the purpose [Nietzsche]
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
Drives make us feel non-feelings; Will is the effect of those feelings [Nietzsche]
20. Action / B. Preliminaries of Action / 2. Willed Action / d. Weakness of will
We need lower and higher drives, but they must be under firm control [Nietzsche]
20. Action / C. Motives for Action / 2. Acting on Beliefs / a. Acting on beliefs
Our motives don't explain our actions [Nietzsche]
21. Aesthetics / A. Aesthetic Experience / 6. The Sublime
People who miss beauty seek the sublime, where even the ugly shows its 'beauty' [Nietzsche]
The sublimity of nature which dwarfs us was a human creation [Nietzsche]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
We can aspire to greatness by creating new functions for ourselves [Nietzsche]
Greeks might see modern analysis of what is human as impious [Nietzsche]
Once a drive controls the intellect, it rules, and sets the goals [Nietzsche]
22. Metaethics / B. Value / 1. Nature of Value / c. Objective value
For absolute morality a goal for mankind is needed [Nietzsche]
22. Metaethics / B. Value / 1. Nature of Value / d. Subjective value
We always assign values, but we may not value those values [Nietzsche]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
Humans are vividly aware of short-term effects, and almost ignorant of the long-term ones [Nietzsche]
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
Happiness is the active equilibrium of our drives [Nietzsche]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / c. Particularism
Actual morality is more complicated and subtle than theory (which gets paralysed) [Nietzsche]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / i. Absolute virtues
Some things we would never do, even for the highest ideals [Nietzsche]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / j. Unity of virtue
You should not want too many virtues; one is enough [Nietzsche]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
Talk of 'utility' presupposes that what is useful to people has been defined [Nietzsche]
23. Ethics / F. Existentialism / 1. Existentialism
The goal is to settle human beings, like other animals, but humans are still changeable [Nietzsche]
23. Ethics / F. Existentialism / 2. Nihilism
My eternal recurrence is opposed to feeling fragmented and imperfect [Nietzsche]
23. Ethics / F. Existentialism / 8. Eternal Recurrence
See our present lives as eternal! Religions see it as fleeting, and aim at some different life [Nietzsche]
The eternal return of wastefulness is a terrible thought [Nietzsche]
25. Social Practice / B. Equalities / 1. Grounds of equality
Justice says people are not equal, and should become increasingly unequal [Nietzsche]
25. Social Practice / D. Justice / 3. Punishment / a. Right to punish
Reasons that justify punishment can also justify the crime [Nietzsche]
25. Social Practice / D. Justice / 3. Punishment / b. Retribution for crime
Do away with punishment. Counter-retribution is as bad as the crime [Nietzsche]
25. Social Practice / E. Policies / 1. War / e. Peace
If you don't want war, remove your borders; but you set up borders because you want war [Nietzsche]
25. Social Practice / E. Policies / 5. Education / d. Study of history
Our growth is too subtle to perceive, and long events are too slow for us to grasp [Nietzsche]
27. Natural Reality / C. Space / 2. Space
Unlike time, space is subjective. Empty space was assumed, but it doesn't exist [Nietzsche]
27. Natural Reality / G. Biology / 2. Life
Life is forces conjoined by nutrition, to produce resistance, arrangement and value [Nietzsche]