Combining Texts

All the ideas for 'On Plural Reference and Set Theory', 'Theory of Science (Wissenschaftslehre, 4 vols)' and 'De Ente et Essentia (Being and Essence)'

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24 ideas

2. Reason / B. Laws of Thought / 1. Laws of Thought
7807 The laws of thought are true, but they are not the axioms of logic [Bolzano, by George/Van Evra]
2. Reason / D. Definition / 5. Genus and Differentia
13070 If definitions must be general, and general terms can't individuate, then Socrates can't be defined [Aquinas, by Cover/O'Leary-Hawthorne]
11197 The definitions expressing identity are used to sort things [Aquinas]
5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
10670 A 'singulariser' converts a plural like 'number of' to a syntactically neutral form [Cartwright,H, by Hossack]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
9618 Bolzano wanted to reduce all of geometry to arithmetic [Bolzano, by Brown,JR]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
9830 Bolzano began the elimination of intuition, by proving something which seemed obvious [Bolzano, by Dummett]
7. Existence / A. Nature of Existence / 3. Being / e. Being and nothing
11195 If affirmative propositions express being, we affirm about what is absent [Aquinas]
7. Existence / C. Structure of Existence / 1. Grounding / c. Grounding and explanation
17265 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
11201 Properties have an incomplete essence, with definitions referring to their subject [Aquinas]
8. Modes of Existence / D. Universals / 6. Platonic Forms / d. Forms critiques
11205 If the form of 'human' contains 'many', Socrates isn't human; if it contains 'one', Socrates is Plato [Aquinas]
9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation
13090 The principle of diversity for corporeal substances is their matter [Aquinas, by Cover/O'Leary-Hawthorne]
9. Objects / D. Essence of Objects / 1. Essences of Objects
11202 It is by having essence that things exist [Aquinas]
9. Objects / D. Essence of Objects / 2. Types of Essence
11203 Specific individual essence is defined by material, and generic essence is defined by form [Aquinas]
9. Objects / D. Essence of Objects / 4. Essence as Definition
11200 The definition of a physical object must include the material as well as the form [Aquinas]
9. Objects / D. Essence of Objects / 5. Essence as Kind
11196 Essence is something in common between the natures which sort things into categories [Aquinas]
9. Objects / D. Essence of Objects / 6. Essence as Unifier
11208 A simple substance is its own essence [Aquinas]
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
9185 Bolzano wanted to avoid Kantian intuitions, and prove everything that could be proved [Bolzano, by Dummett]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
11198 Definition of essence makes things understandable [Aquinas]
19. Language / C. Assigning Meanings / 3. Predicates
11206 The mind constructs complete attributions, based on the unified elements of the real world [Aquinas]
19. Language / D. Propositions / 1. Propositions
22276 Bolzano saw propositions as objective entities, existing independently of us [Bolzano, by Potter]
19. Language / D. Propositions / 2. Abstract Propositions / a. Propositions as sense
17264 Propositions are abstract structures of concepts, ready for judgement or assertion [Bolzano, by Correia/Schnieder]
12232 A 'proposition' is the sense of a linguistic expression, and can be true or false [Bolzano]
19. Language / E. Analyticity / 2. Analytic Truths
12233 The ground of a pure conceptual truth is only in other conceptual truths [Bolzano]
26. Natural Theory / C. Causation / 5. Direction of causation
11207 A cause can exist without its effect, but the effect cannot exist without its cause [Aquinas]