Combining Texts

All the ideas for 'works (fragments)', 'Disputationes metaphysicae' and 'works'

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25 ideas

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 / 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]
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]
8. Modes of Existence / B. Properties / 8. Properties as Modes
There are entities, and then positive 'modes', modifying aspects outside the thing's essence [Suárez]
A mode determines the state and character of a quantity, without adding to it [Suárez]
9. Objects / B. Unity of Objects / 2. Substance / a. Substance
Substances are incomplete unless they have modes [Suárez, by Pasnau]
9. Objects / C. Structure of Objects / 2. Hylomorphism / a. Hylomorphism
Forms must rule over faculties and accidents, and are the source of action and unity [Suárez]
9. Objects / C. Structure of Objects / 2. Hylomorphism / d. Form as unifier
Partial forms of leaf and fruit are united in the whole form of the tree [Suárez]
The best support for substantial forms is the co-ordinated unity of a natural being [Suárez]
9. Objects / C. Structure of Objects / 4. Quantity of an Object
We can get at the essential nature of 'quantity' by knowing bulk and extension [Suárez]
9. Objects / D. Essence of Objects / 14. Knowledge of Essences
We only know essences through non-essential features, esp. those closest to the essence [Suárez]
9. Objects / F. Identity among Objects / 1. Concept of Identity
Identity does not exclude possible or imagined difference [Suárez, by Boulter]
Real Essential distinction: A and B are of different natural kinds [Suárez, by Boulter]
Minor Real distinction: B needs A, but A doesn't need B [Suárez, by Boulter]
Major Real distinction: A and B have independent existences [Suárez, by Boulter]
Conceptual/Mental distinction: one thing can be conceived of in two different ways [Suárez, by Boulter]
Modal distinction: A isn't B or its property, but still needs B [Suárez, by Boulter]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / a. Conceivable as possible
Scholastics assess possibility by what has actually happened in reality [Suárez, by Boulter]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
We must choose in which of the virtues we wish to excel [Panaetius]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / b. Living naturally
Panaetius said we should live according to our natural starting-points [Panaetius, by Asmis]
23. Ethics / C. Virtue Theory / 3. Virtues / d. Courage
Panaetius identified courage with great-mindedness, preferring civic courage to military [Panaetius, by Asmis]
29. Religion / B. Monotheistic Religion / 4. Christianity / c. Angels
Other things could occupy the same location as an angel [Suárez]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
Souls are born, since they are sensitive and inherited, so they must perish [Panaetius, by Cicero]