Combining Texts

All the ideas for 'The philosophical basis of intuitionist logic', 'New System and Explanation of New System' and 'Prologue to Ordinatio'

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11 ideas

4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic
18073 Dummett says classical logic rests on meaning as truth, while intuitionist logic rests on assertability [Dummett, by Kitcher]
5. Theory of Logic / G. Quantification / 1. Quantification
19057 Classical quantification is an infinite conjunction or disjunction - but you may not know all the instances [Dummett]
7. Existence / C. Structure of Existence / 6. Fundamentals / c. Monads
5044 Reality must be made of basic unities, which will be animated, substantial points [Leibniz]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
9100 Our intellect only assents to what we believe to be true [William of Ockham]
15. Nature of Minds / A. Nature of Mind / 5. Unity of Mind
5045 No machine or mere organised matter could have a unified self [Leibniz]
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
9101 Abstractive cognition knows universals abstracted from many singulars [William of Ockham]
17. Mind and Body / A. Mind-Body Dualism / 5. Parallelism
5046 The soul does know bodies, although they do not influence one another [Leibniz]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
19055 Stating a sentence's truth-conditions is just paraphrasing the sentence [Dummett]
19056 If a sentence is effectively undecidable, we can never know its truth conditions [Dummett]
19. Language / A. Nature of Meaning / 6. Meaning as Use
19054 Meaning as use puts use beyond criticism, and needs a holistic view of language [Dummett]
27. Natural Reality / G. Biology / 2. Life
5043 To regard animals as mere machines may be possible, but seems improbable [Leibniz]