Combining Philosophers

All the ideas for Luitzen E.J. Brouwer, Christine M. Korsgaard and Joseph Almog

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33 ideas

4. Formal Logic / E. Nonclassical Logics / 7. Paraconsistency
Our dislike of contradiction in logic is a matter of psychology, not mathematics [Brouwer]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
For intuitionists excluded middle is an outdated historical convention [Brouwer]
5. Theory of Logic / K. Features of Logics / 6. Compactness
If a concept is not compact, it will not be presentable to finite minds [Almog]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
Mathematics is a mental activity which does not use language [Brouwer, by Bostock]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers
The number series is primitive, not the result of some set theoretic axioms [Almog]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / h. Reals from Cauchy
Brouwer saw reals as potential, not actual, and produced by a rule, or a choice [Brouwer, by Shapiro]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
Brouwer regards the application of mathematics to the world as somehow 'wicked' [Brouwer, by Bostock]
Scientific laws largely rest on the results of counting and measuring [Brouwer]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
Intuitionists only accept denumerable sets [Brouwer]
Neo-intuitionism abstracts from the reuniting of moments, to intuit bare two-oneness [Brouwer]
Intuitionist mathematics deduces by introspective construction, and rejects unknown truths [Brouwer]
9. Objects / D. Essence of Objects / 4. Essence as Definition
Fregean meanings are analogous to conceptual essence, defining a kind [Almog]
Essential definition aims at existence conditions and structural truths [Almog]
Surface accounts aren't exhaustive as they always allow unintended twin cases [Almog]
Definitionalists rely on snapshot-concepts, instead of on the real processes [Almog]
9. Objects / D. Essence of Objects / 10. Essence as Species
Alien 'tigers' can't be tigers if they are not related to our tigers [Almog]
9. Objects / D. Essence of Objects / 13. Nominal Essence
Kripke and Putnam offer an intermediary between real and nominal essences [Almog]
9. Objects / D. Essence of Objects / 15. Against Essentialism
Individual essences are just cobbled together classificatory predicates [Almog]
16. Persons / A. Concept of a Person / 4. Persons as Agents
To make sense of personal identity, focus on agency rather than experience [Korsgaard]
A person viewed as an agent makes no sense without its own future [Korsgaard]
18. Thought / C. Content / 5. Twin Earth
Water must be related to water, just as tigers must be related to tigers [Almog]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Intuitonists in mathematics worried about unjustified assertion, as well as contradiction [Brouwer, by George/Velleman]
20. Action / A. Definition of Action / 1. Action Theory
Theory of action focuses on explanation and prediction; practical action on justification and choice [Korsgaard]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics
Maybe final value rests on the extrinsic property of being valued by a rational agent [Korsgaard, by Orsi]
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
If we can't reason about value, we can reason about the unconditional source of value [Korsgaard]
An end can't be an ultimate value just because it is useless! [Korsgaard]
22. Metaethics / B. Value / 2. Values / i. Self-interest
Self-concern may be a source of pain, or a lack of self-respect, or a failure of responsibility [Korsgaard]
22. Metaethics / C. The Good / 1. Goodness / b. Types of good
Goodness is given either by a psychological state, or the attribution of a property [Korsgaard]
23. Ethics / A. Egoism / 1. Ethical Egoism
Personal concern for one's own self widens out into concern for the impersonal [Korsgaard]
23. Ethics / C. Virtue Theory / 3. Virtues / g. Contemplation
Contemplation is final because it is an activity which is not a process [Korsgaard]
For Aristotle, contemplation consists purely of understanding [Korsgaard]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / e. Anti scientific essentialism
Defining an essence comes no where near giving a thing's nature [Almog]
Essences promise to reveal reality, but actually drive us away from it [Almog]