Combining Philosophers

All the ideas for Luitzen E.J. Brouwer, J.P. Moreland and John McDowell

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39 ideas

2. Reason / A. Nature of Reason / 3. Pure Reason
The logical space of reasons is a natural phenomenon, and it is the realm of freedom [McDowell]
2. Reason / B. Laws of Thought / 6. Ockham's Razor
Epistemological Ockham's Razor demands good reasons, but the ontological version says reality is simple [Moreland]
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For intuitionists excluded middle is an outdated historical convention [Brouwer]
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 / 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]
7. Existence / D. Theories of Reality / 1. Ontologies
Existence theories must match experience, possibility, logic and knowledge, and not be self-defeating [Moreland]
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
Tropes are like Hume's 'impressions', conceived as real rather than as ideal [Moreland]
8. Modes of Existence / B. Properties / 13. Tropes / b. Critique of tropes
In 'four colours were used in the decoration', colours appear to be universals, not tropes [Moreland]
A colour-trope cannot be simple (as required), because it is spread in space, and so it is complex [Moreland]
8. Modes of Existence / D. Universals / 1. Universals
If properties are universals, what distinguishes two things which have identical properties? [Moreland]
One realism is one-over-many, which may be the model/copy view, which has the Third Man problem [Moreland]
Realists see properties as universals, which are single abstract entities which are multiply exemplifiable [Moreland]
8. Modes of Existence / D. Universals / 2. Need for Universals
The traditional problem of universals centres on the "One over Many", which is the unity of natural classes [Moreland]
Evidence for universals can be found in language, communication, natural laws, classification and ideals [Moreland]
8. Modes of Existence / D. Universals / 3. Instantiated Universals
The One-In-Many view says universals have abstract existence, but exist in particulars [Moreland]
8. Modes of Existence / D. Universals / 4. Uninstantiated Universals
Maybe universals are real, if properties themselves have properties, and relate to other properties [Moreland]
A naturalist and realist about universals is forced to say redness can be both moving and stationary [Moreland]
There are spatial facts about red particulars, but not about redness itself [Moreland]
How could 'being even', or 'being a father', or a musical interval, exist naturally in space? [Moreland]
8. Modes of Existence / D. Universals / 6. Platonic Forms / a. Platonic Forms
Redness is independent of red things, can do without them, has its own properties, and has identity [Moreland]
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
Moderate nominalism attempts to embrace the existence of properties while avoiding universals [Moreland]
8. Modes of Existence / E. Nominalism / 2. Resemblance Nominalism
Unlike Class Nominalism, Resemblance Nominalism can distinguish natural from unnatural classes [Moreland]
8. Modes of Existence / E. Nominalism / 3. Predicate Nominalism
There can be predicates with no property, and there are properties with no predicate [Moreland]
8. Modes of Existence / E. Nominalism / 5. Class Nominalism
We should abandon the concept of a property since (unlike sets) their identity conditions are unclear [Moreland]
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
Most philosophers think that the identity of indiscernibles is false [Moreland]
12. Knowledge Sources / B. Perception / 3. Representation
Representation must be propositional if it can give reasons and be epistemological [McDowell, by Burge]
12. Knowledge Sources / B. Perception / 5. Interpretation
There is no pure Given, but it is cultured, rather than entirely relative [McDowell, by Macbeth]
12. Knowledge Sources / D. Empiricism / 1. Empiricism
Sense impressions already have conceptual content [McDowell]
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
Abstractions are formed by the mind when it concentrates on some, but not all, the features of a thing [Moreland]
18. Thought / D. Concepts / 4. Structure of Concepts / b. Analysis of concepts
It is always open to a philosopher to claim that some entity or other is unanalysable [Moreland]
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]
19. Language / F. Communication / 4. Private Language
Forming concepts by abstraction from the Given is private definition, which the Private Lang. Arg. attacks [McDowell]
27. Natural Reality / D. Time / 1. Nature of Time / h. Presentism
'Presentism' is the view that only the present moment exists [Moreland]