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All the ideas for 'Frege's Concept of Numbers as Objects', 'Rationality and Logic' and 'The Will to Power (notebooks)'

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146 ideas

1. Philosophy / A. Wisdom / 2. Wise People
The wisest man is full of contradictions, and attuned to other people, with occasional harmony [Nietzsche]
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]
1. Philosophy / D. Nature of Philosophy / 1. Philosophy
I don't want to persuade anyone to be a philosopher; they should be rare plants [Nietzsche]
1. Philosophy / F. Analytic Philosophy / 6. Logical Analysis
Frege's logical approach dominates the analytical tradition [Hanna]
1. Philosophy / G. Scientific Philosophy / 3. Scientism
Scientism says most knowledge comes from the exact sciences [Hanna]
2. Reason / A. Nature of Reason / 5. Objectivity
Could not the objective character of things be merely a difference of degree within the subjective? [Nietzsche]
2. Reason / A. Nature of Reason / 7. Status of Reason
Reason is a mere idiosyncrasy of a certain species of animal [Nietzsche]
2. Reason / A. Nature of Reason / 9. Limits of Reason
What can be 'demonstrated' is of little worth [Nietzsche]
2. Reason / B. Laws of Thought / 3. Non-Contradiction
Our inability to both affirm and deny a single thing is merely an inability, not a 'necessity' [Nietzsche]
2. Reason / B. Laws of Thought / 6. Ockham's Razor
Everything simple is merely imaginary [Nietzsche]
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]
2. Reason / F. Fallacies / 1. Fallacy
'Denying the antecedent' fallacy: φ→ψ, ¬φ, so ¬ψ [Hanna]
'Affirming the consequent' fallacy: φ→ψ, ψ, so φ [Hanna]
We can list at least fourteen informal fallacies [Hanna]
2. Reason / F. Fallacies / 4. Circularity
Circular arguments are formally valid, though informally inadmissible [Hanna]
2. Reason / F. Fallacies / 5. Fallacy of Composition
Formally, composition and division fallacies occur in mereology [Hanna]
3. Truth / A. Truth Problems / 3. Value of Truth
Truth was given value by morality, but eventually turned against its own source [Nietzsche]
3. Truth / A. Truth Problems / 4. Uses of Truth
'Truth' is the will to be master over the multiplicity of sensations [Nietzsche]
3. Truth / A. Truth Problems / 7. Falsehood
Only because there is thought is there untruth [Nietzsche]
3. Truth / A. Truth Problems / 8. Subjective Truth
True beliefs are those which augment one's power [Nietzsche, by Scruton]
3. Truth / A. Truth Problems / 9. Rejecting Truth
The truth is what gives us the minimum of spiritual effort, and avoids the exhaustion of lying [Nietzsche]
3. Truth / D. Coherence Truth / 1. Coherence Truth
Judgements can't be true and known in isolation; the only surety is in connections and relations [Nietzsche]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
Logic is explanatorily and ontologically dependent on rational animals [Hanna]
Logic is personal and variable, but it has a universal core [Hanna]
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Intensional consequence is based on the content of the concepts [Hanna]
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 / a. Units
We need 'unities' for reckoning, but that does not mean they exist [Nietzsche]
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]
Logicism struggles because there is no decent theory of analyticity [Hanna]
6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics
Logic and maths refer to fictitious entities which we have created [Nietzsche]
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 / c. Becoming
The nature of being, of things, is much easier to understand than is becoming [Nietzsche]
7. Existence / C. Structure of Existence / 5. Supervenience / b. Types of supervenience
Supervenience can add covariation, upward dependence, and nomological connection [Hanna]
7. Existence / D. Theories of Reality / 8. Facts / e. Facts rejected
There are no facts in themselves, only interpretations [Nietzsche]
There are no 'facts-in-themselves', since a sense must be projected into them to make them 'facts' [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]
7. Existence / E. Categories / 5. Category Anti-Realism
Nihilism results from valuing the world by the 'categories of reason', because that is fiction [Nietzsche]
8. Modes of Existence / B. Properties / 12. Denial of Properties
We realise that properties are sensations of the feeling subject, not part of the thing [Nietzsche]
8. Modes of Existence / C. Powers and Dispositions / 5. Powers and Properties
A thing has no properties if it has no effect on other 'things' [Nietzsche]
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 / B. Unity of Objects / 1. Unifying an Object / c. Unity as conceptual
We saw unity in things because our ego seemed unified (but now we doubt the ego!) [Nietzsche]
10. Modality / A. Necessity / 2. Nature of Necessity
A sentence is necessary if it is true in a set of worlds, and nonfalse in the other worlds [Hanna]
10. Modality / A. Necessity / 5. Metaphysical Necessity
Metaphysical necessity can be 'weak' (same as logical) and 'strong' (based on essences) [Hanna]
10. Modality / A. Necessity / 6. Logical Necessity
Logical necessity is truth in all logically possible worlds, because of laws and concepts [Hanna]
10. Modality / A. Necessity / 7. Natural Necessity
Nomological necessity is truth in all logically possible worlds with our laws [Hanna]
10. Modality / A. Necessity / 11. Denial of Necessity
For me, a priori 'truths' are just provisional assumptions [Nietzsche]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
We can't know whether there is knowledge if we don't know what it is [Nietzsche]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
Every belief is a considering-something-true [Nietzsche]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
A note for asses: What convinces is not necessarily true - it is merely convincing [Nietzsche]
12. Knowledge Sources / A. A Priori Knowledge / 7. A Priori from Convention
The forms of 'knowledge' about logic which precede experience are actually regulations of belief [Nietzsche]
12. Knowledge Sources / B. Perception / 1. Perception
All sense perceptions are permeated with value judgements (useful or harmful) [Nietzsche]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
We can have two opposite sensations, like hard and soft, at the same time [Nietzsche]
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
Intuition includes apriority, clarity, modality, authority, fallibility and no inferences [Hanna]
Intuition is more like memory, imagination or understanding, than like perception [Hanna]
Intuition is only outside the 'space of reasons' if all reasons are inferential [Hanna]
13. Knowledge Criteria / E. Relativism / 1. Relativism
The extreme view is there are only perspectives, no true beliefs, because there is no true world [Nietzsche]
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
Explanatory reduction is stronger than ontological reduction [Hanna]
15. Nature of Minds / A. Nature of Mind / 5. Unity of Mind
It is a major blunder to think of consciousness as a unity, and hence as an entity, a thing [Nietzsche]
15. Nature of Minds / C. Capacities of Minds / 2. Imagination
Imagination grasps abstracta, generates images, and has its own correctness conditions [Hanna]
16. Persons / C. Self-Awareness / 2. Knowing the Self
Great self-examination is to become conscious of oneself not as an individual, but as mankind [Nietzsche]
16. Persons / E. Rejecting the Self / 4. Denial of the Self
Perhaps we are not single subjects, but a multiplicity of 'cells', interacting to create thought [Nietzsche]
17. Mind and Body / A. Mind-Body Dualism / 6. Epiphenomenalism
Consciousness is a terminal phenomenon, and causes nothing [Nietzsche]
18. Thought / A. Modes of Thought / 1. Thought
Should we take the 'depictivist' or the 'descriptivist/propositionalist' view of mental imagery? [Hanna]
18. Thought / A. Modes of Thought / 3. Emotions / b. Types of emotion
Passions are ranked, as if they are non-rational and animal pleasure seeking [Nietzsche]
18. Thought / A. Modes of Thought / 3. Emotions / f. Emotion and reason
We fail to see that reason is a network of passions, and every passion contains some reason [Nietzsche]
18. Thought / A. Modes of Thought / 5. Rationality / a. Rationality
Hegelian holistic rationality is the capacity to seek coherence [Hanna]
Humean Instrumental rationality is the capacity to seek contingent truths [Hanna]
Kantian principled rationality is recognition of a priori universal truths [Hanna]
One tradition says talking is the essence of rationality; the other says the essence is logic [Hanna]
Rational animals have a normative concept of necessity [Hanna]
18. Thought / B. Mechanics of Thought / 1. Psychology
Most psychologists are now cognitivists [Hanna]
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]
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
The concept of the 'will' is just a false simplification by our understanding [Nietzsche]
20. Action / B. Preliminaries of Action / 2. Willed Action / b. Volitionism
There is no such things a pure 'willing' on its own; the aim must always be part of it [Nietzsche]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / g. Moral responsibility
None of the ancients had the courage to deny morality by denying free will [Nietzsche]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
'Conscience' is invented to value actions by intention and conformity to 'law', rather than consequences [Nietzsche]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / f. Übermensch
There is an extended logic to a great man's life, achieved by a sustained will [Nietzsche]
The highest man can endure and control the greatest combination of powerful drives [Nietzsche]
The highest man directs the values of the highest natures over millenia [Nietzsche]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / g. Will to power
There is a conspiracy (a will to power) to make morality dominate other values, like knowledge and art [Nietzsche]
The basic tendency of the weak has always been to pull down the strong, using morality [Nietzsche]
22. Metaethics / B. Value / 1. Nature of Value / d. Subjective value
All evaluation is from some perspective, and aims at survival [Nietzsche]
The ruling drives of our culture all want to be the highest court of our values [Nietzsche]
22. Metaethics / B. Value / 2. Values / f. Altruism
How can it be that I should prefer my neighbour to myself, but he should prefer me to himself? [Nietzsche]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
Utilitarians prefer consequences because intentions are unknowable - but so are consequences! [Nietzsche]
22. Metaethics / C. The Good / 2. Happiness / c. Value of happiness
It is a sign of degeneration when eudaimonistic values begin to prevail [Nietzsche]
We have no more right to 'happiness' than worms [Nietzsche]
22. Metaethics / C. The Good / 3. Pleasure / a. Nature of pleasure
Pleasure and pain are mere epiphenomena, and achievement requires that one desire both [Nietzsche]
23. Ethics / A. Egoism / 1. Ethical Egoism
The question about egoism is: what kind of ego? since not all egos are equal [Nietzsche]
The ego is only a fiction, and doesn't exist at all [Nietzsche]
Egoism is inescapable, and when it grows weak, the power of love also grows weak [Nietzsche]
23. Ethics / B. Contract Ethics / 2. Golden Rule
The Golden Rule prohibits harmful actions, with the premise that actions will be requited [Nietzsche]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
The great error is to think that happiness derives from virtue, which in turn derives from free will [Nietzsche]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / b. Living naturally
Not "return to nature", for there has never yet been a natural humanity [Nietzsche]
'Love your enemy' is unnatural, for the natural law says 'love your neighbour and hate your enemy' [Nietzsche]
Be natural! But how, if one happens to be "unnatural"? [Nietzsche]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
We would avoid a person who always needed reasons for remaining decent [Nietzsche]
Virtue is pursued from self-interest and prudence, and reduces people to non-entities [Nietzsche]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / f. The Mean
The instinct of the herd, the majority, aims for the mean, in the middle [Nietzsche]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
A path to power: to introduce a new virtue under the name of an old one [Nietzsche]
Modesty, industriousness, benevolence and temperance are the virtues of a good slave [Nietzsche]
Many virtues are merely restraints on the most creative qualities of a human being [Nietzsche]
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
When powerless one desires freedom; if power is too weak, one desires equal power ('justice') [Nietzsche]
23. Ethics / C. Virtue Theory / 3. Virtues / e. Honour
The supposed great lovers of honour (Alexander etc) were actually great despisers of honour [Nietzsche]
23. Ethics / D. Deontological Ethics / 4. Categorical Imperative
The categorical imperative needs either God behind it, or a metaphysic of the unity of reason [Nietzsche]
23. Ethics / E. Utilitarianism / 3. Motivation for Altruism
Utilitarianism criticises the origins of morality, but still believes in it as much as Christians [Nietzsche]
23. Ethics / F. Existentialism / 1. Existentialism
If faith is lost, people seek other authorities, in order to avoid the risk of willing personal goals [Nietzsche]
23. Ethics / F. Existentialism / 6. Authentic Self
Virtuous people are inferior because they are not 'persons', but conform to a fixed pattern [Nietzsche]
23. Ethics / F. Existentialism / 7. Existential Action
Morality used to be for preservation, but now we can only experiment, giving ourselves moral goals [Nietzsche]
24. Political Theory / B. Nature of a State / 5. Culture
The high points of culture and civilization do not coincide [Nietzsche]
25. Social Practice / B. Equalities / 2. Political equality
In modern society virtue is 'equal rights', but only because everyone is zero, so it is a sum of zeroes [Nietzsche]
26. Natural Theory / C. Causation / 7. Eliminating causation
Science has taken the meaning out of causation; cause and effect are two equal sides of an equation [Nietzsche]
26. Natural Theory / C. Causation / 8. Particular Causation / a. Observation of causation
We derive the popular belief in cause and effect from our belief that our free will causes things [Nietzsche]
27. Natural Reality / G. Biology / 3. Evolution
A 'species' is a stable phase of evolution, implying the false notion that evolution has a goal [Nietzsche]
28. God / A. Divine Nature / 1. God
The concept of 'God' represents a turning away from life, and a critique of life [Nietzsche]
28. God / A. Divine Nature / 6. Divine Morality / a. Divine morality
Those who have abandoned God cling that much more firmly to the faith in morality [Nietzsche]
28. God / A. Divine Nature / 6. Divine Morality / d. God decrees morality
Morality cannot survive when the God who sanctions it is missing [Nietzsche]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
Primitive Christianity is abolition of the state; it is opposed to defence, justice, patriotism and class [Nietzsche]