Combining Texts

All the ideas for 'The Enneads', 'Logical Consequence' and 'Phil of Mathematics: why nothing works'

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25 ideas

4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
10688 'Equivocation' is when terms do not mean the same thing in premises and conclusion [Beall/Restall]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
10690 Formal logic is invariant under permutations, or devoid of content, or gives the norms for thought [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
10691 Logical consequence needs either proofs, or absence of counterexamples [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
10695 Logical consequence is either necessary truth preservation, or preservation based on interpretation [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 8. Material Implication
10689 A step is a 'material consequence' if we need contents as well as form [Beall/Restall]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
10696 A 'logical truth' (or 'tautology', or 'theorem') follows from empty premises [Beall/Restall]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
10693 Models are mathematical structures which interpret the non-logical primitives [Beall/Restall]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
10692 Hilbert proofs have simple rules and complex axioms, and natural deduction is the opposite [Beall/Restall]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
3663 How can you contemplate Platonic entities without causal transactions with them? [Putnam]
7. Existence / A. Nature of Existence / 3. Being / f. Primary being
21812 Being is the product of pure intellect [Plotinus]
21817 The One does not exist, but is the source of all existence [Plotinus]
21824 The One is a principle which transcends Being [Plotinus]
7. Existence / A. Nature of Existence / 3. Being / g. Particular being
21813 Number determines individual being [Plotinus]
15. Nature of Minds / A. Nature of Mind / 5. Unity of Mind
5506 If soul was like body, its parts would be separate, without communication [Plotinus]
15. Nature of Minds / B. Features of Minds / 2. Unconscious Mind
21827 The movement of Soul is continuous, but we are only aware of the parts of it that are sensed [Plotinus]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / b. Self as mental continuity
21828 A person is the whole of their soul [Plotinus]
17. Mind and Body / A. Mind-Body Dualism / 1. Dualism
21809 Our soul has the same ideal nature as the oldest god, and is honourable above the body [Plotinus]
21825 The soul is outside of all of space, and has no connection to the bodily order [Plotinus]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics
21826 The Soul reasons about the Right, so there must be some permanent Right about which it reasons [Plotinus]
22. Metaethics / C. The Good / 2. Happiness / a. Nature of happiness
6922 Ecstasy is for the neo-Platonist the highest psychological state of man [Plotinus, by Feuerbach]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / e. The One
21814 How can multiple existence arise from the unified One? [Plotinus]
21815 Because the One is immobile, it must create by radiation, light the sun producing light [Plotinus]
21816 Soul is the logos of Nous, just as Nous is the logos of the One [Plotinus]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
21808 Soul is author of all of life, and of the stars, and it gives them law and movement [Plotinus]
29. Religion / D. Religious Issues / 2. Immortality / b. Soul
21811 Even the soul is secondary to the Intellectual-Principle [Nous], of which soul is an utterance [Plotinus]