Combining Texts

All the ideas for 'fragments/reports', 'Theory of Science (Wissenschaftslehre, 4 vols)' and 'Disputationes metaphysicae'

expand these ideas     |    start again     |     specify just one area for these texts


28 ideas

2. Reason / B. Laws of Thought / 1. Laws of Thought
The laws of thought are true, but they are not the axioms of logic [Bolzano, by George/Van Evra]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
Bolzano wanted to reduce all of geometry to arithmetic [Bolzano, by Brown,JR]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
Bolzano began the elimination of intuition, by proving something which seemed obvious [Bolzano, by Dummett]
7. Existence / A. Nature of Existence / 3. Being / d. Non-being
Not-Being obviously doesn't exist, and the five modes of Being are all impossible [Gorgias, by Diog. Laertius]
7. Existence / C. Structure of Existence / 1. Grounding / c. Grounding and explanation
Philosophical proofs in mathematics establish truths, and also show their grounds [Bolzano, by Correia/Schnieder]
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]
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]
Real Essential distinction: A and B are of different natural kinds [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]
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
Bolzano wanted to avoid Kantian intuitions, and prove everything that could be proved [Bolzano, by Dummett]
19. Language / D. Propositions / 1. Propositions
Bolzano saw propositions as objective entities, existing independently of us [Bolzano, by Potter]
19. Language / D. Propositions / 2. Abstract Propositions / a. Propositions as sense
Propositions are abstract structures of concepts, ready for judgement or assertion [Bolzano, by Correia/Schnieder]
A 'proposition' is the sense of a linguistic expression, and can be true or false [Bolzano]
19. Language / E. Analyticity / 2. Analytic Truths
The ground of a pure conceptual truth is only in other conceptual truths [Bolzano]
19. Language / F. Communication / 1. Rhetoric
Gorgias says rhetoric is the best of arts, because it enslaves without using force [Gorgias, by Plato]
Destroy seriousness with laughter, and laughter with seriousness [Gorgias]
29. Religion / B. Monotheistic Religion / 4. Christianity / c. Angels
Other things could occupy the same location as an angel [Suárez]