Combining Philosophers

All the ideas for Nelson Goodman, Peter Singer and Gerhard Gentzen

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52 ideas

1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
Without words or other symbols, we have no world [Goodman]
3. Truth / A. Truth Problems / 5. Truth Bearers
Truth is irrelevant if no statements are involved [Goodman]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / a. Sets as existing
Classes are a host of ethereal, platonic, pseudo entities [Goodman]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Two objects can apparently make up quite distinct arrangements in sets [Goodman, by Burgess/Rosen]
4. Formal Logic / G. Formal Mereology / 1. Mereology
The counties of Utah, and the state, and its acres, are in no way different [Goodman]
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
Gentzen introduced a natural deduction calculus (NK) in 1934 [Gentzen, by Read]
5. Theory of Logic / C. Ontology of Logic / 4. Logic by Convention
If the result is bad, we change the rule; if we like the rule, we reject the result [Goodman]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
The inferential role of a logical constant constitutes its meaning [Gentzen, by Hanna]
The logical connectives are 'defined' by their introduction rules [Gentzen]
Each logical symbol has an 'introduction' rule to define it, and hence an 'elimination' rule [Gentzen]
5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
Natural deduction shows the heart of reasoning (and sequent calculus is just a tool) [Gentzen, by Hacking]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Gentzen proved the consistency of arithmetic from assumptions beyond arithmetic [Gentzen, by Musgrave]
7. Existence / C. Structure of Existence / 4. Ontological Dependence
Being primitive or prior always depends on a constructional system [Goodman]
7. Existence / C. Structure of Existence / 5. Supervenience / d. Humean supervenience
We don't recognise patterns - we invent them [Goodman]
7. Existence / D. Theories of Reality / 3. Reality
Reality is largely a matter of habit [Goodman]
7. Existence / D. Theories of Reality / 4. Anti-realism
We build our world, and ignore anything that won't fit [Goodman]
7. Existence / E. Categories / 5. Category Anti-Realism
A world can be full of variety or not, depending on how we sort it [Goodman]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / a. Dispositions
Dispositions seem more ethereal than behaviour; a non-occult account of them would be nice [Goodman]
8. Modes of Existence / E. Nominalism / 2. Resemblance Nominalism
If all and only red things were round things, we would need to specify the 'respect' of the resemblance [Goodman, by Macdonald,C]
Without respects of resemblance, we would collect blue book, blue pen, red pen, red clock together [Goodman, by Macdonald,C]
8. Modes of Existence / E. Nominalism / 3. Predicate Nominalism
If we apply the same word to different things, it is only because we are willing to do so [Goodman, by Macdonald,C]
9. Objects / F. Identity among Objects / 3. Relative Identity
Things can only be judged the 'same' by citing some respect of sameness [Goodman]
10. Modality / B. Possibility / 9. Counterfactuals
Counterfactuals are true if logical or natural laws imply the consequence [Goodman, by McFetridge]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / b. Pro-coherentism
Discovery is often just finding a fit, like a jigsaw puzzle [Goodman]
14. Science / B. Scientific Theories / 3. Instrumentalism
Users of digital thermometers recognise no temperatures in the gaps [Goodman]
14. Science / B. Scientific Theories / 5. Commensurability
We lack frames of reference to transform physics, biology and psychology into one another [Goodman]
14. Science / C. Induction / 5. Paradoxes of Induction / a. Grue problem
Goodman argued that the confirmation relation can never be formalised [Goodman, by Horsten/Pettigrew]
Goodman showed that every sound inductive argument has an unsound one of the same form [Goodman, by Putnam]
Grue and green won't be in the same world, as that would block induction entirely [Goodman]
21. Aesthetics / B. Nature of Art / 1. Defining Art
Art is a referential activity, hence indefinable, but it has a set of symptoms [Goodman]
21. Aesthetics / B. Nature of Art / 5. Art as Language
Artistic symbols are judged by the fruitfulness of their classifications [Goodman, by Giovannelli]
Art is like understanding a natural language, and needs a grasp of a symbol system [Goodman, by Gardner]
21. Aesthetics / B. Nature of Art / 7. Ontology of Art
A performance is only an instance of a work if there is not a single error [Goodman]
21. Aesthetics / C. Artistic Issues / 2. Copies of Art
A copy only becomes an 'instance' of an artwork if there is a system of notation [Goodman]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / b. Defining ethics
Ethics is universalisable - it must involve an impartial and universal view of things [Singer]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
Following an inner voice for morality is irresponsible in a rational agent [Singer]
22. Metaethics / B. Value / 2. Values / c. Life
The sanctity of a human life depends either on being of our species, or on being a person [Singer]
22. Metaethics / C. The Good / 1. Goodness / h. Good as benefit
'Marginal utility' says something is more useful if it is in short supply [Singer]
23. Ethics / B. Contract Ethics / 1. Contractarianism
Why should I do anything for posterity? What has posterity ever done for me? [Singer]
23. Ethics / D. Deontological Ethics / 1. Deontology
Conflict of rules might be avoided by greater complexity, or by a hierarchy of rules [Singer]
23. Ethics / F. Existentialism / 4. Boredom
Psychopaths may just be bored, because they cannot participate in normal emotional life [Singer]
24. Political Theory / C. Ruling a State / 4. Changing the State / c. Revolution
You can't condemn violent revolution without assessing the evils it prevents [Singer]
In Marxism the state will be superseded [Singer]
24. Political Theory / D. Ideologies / 5. Democracy / e. Democratic minorities
If 49% of the population can be wrong, so can 51% [Singer]
24. Political Theory / D. Ideologies / 9. Communism
Materialist history says we are subject to incomprehensible forces [Singer]
25. Social Practice / B. Equalities / 1. Grounds of equality
Equality of interests is a minimal principle, not implying equal treatment [Singer]
25. Social Practice / B. Equalities / 4. Economic equality
Equality of opportunity unfairly rewards those lucky enough to have great ability [Singer]
25. Social Practice / C. Rights / 1. Basis of Rights
If a right entails having the relevant desire, many creatures might have no right to life [Singer]
25. Social Practice / F. Life Issues / 3. Abortion
Why should a potential person have the rights of an actual person? [Singer]
25. Social Practice / F. Life Issues / 6. Animal Rights
Killing a chimp is worse than killing a human too defective to be a person [Singer]
26. Natural Theory / A. Speculations on Nature / 1. Nature
If the world is one it has many aspects, and if there are many worlds they will collect into one [Goodman]
26. Natural Theory / D. Laws of Nature / 3. Laws and Generalities
We don't use laws to make predictions, we call things laws if we make predictions with them [Goodman]