Combining Texts

All the ideas for 'Function and Concept', 'On Second-Order Logic' and 'The Vocation of Man'

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44 ideas

2. Reason / A. Nature of Reason / 8. Naturalising Reason
The need to act produces consciousness, and practical reason is the root of all reason [Fichte]
2. Reason / B. Laws of Thought / 2. Sufficient Reason
Sufficient reason makes the transition from the particular to the general [Fichte]
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
Frege thought traditional categories had psychological and linguistic impurities [Frege, by Rumfitt]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Boolos reinterprets second-order logic as plural logic [Boolos, by Oliver/Smiley]
Second-order logic metatheory is set-theoretic, and second-order validity has set-theoretic problems [Boolos]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
A sentence can't be a truth of logic if it asserts the existence of certain sets [Boolos]
5. Theory of Logic / E. Structures of Logic / 5. Functions in Logic
First-level functions have objects as arguments; second-level functions take functions as arguments [Frege]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
Relations are functions with two arguments [Frege]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
'∀x x=x' only means 'everything is identical to itself' if the range of 'everything' is fixed [Boolos]
5. Theory of Logic / K. Features of Logics / 4. Completeness
Weak completeness: if it is valid, it is provable. Strong: it is provable from a set of sentences [Boolos]
5. Theory of Logic / K. Features of Logics / 6. Compactness
Why should compactness be definitive of logic? [Boolos, by Hacking]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
Many concepts can only be expressed by second-order logic [Boolos]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Arithmetic is a development of logic, so arithmetical symbolism must expand into logical symbolism [Frege]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
Frege takes the existence of horses to be part of their concept [Frege, by Sommers]
8. Modes of Existence / B. Properties / 1. Nature of Properties
Each object has a precise number of properties, each to a precise degree [Fichte]
8. Modes of Existence / B. Properties / 10. Properties as Predicates
Frege allows either too few properties (as extensions) or too many (as predicates) [Mellor/Oliver on Frege]
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
The principle of activity and generation is found in a self-moving basic force [Fichte]
9. Objects / A. Existence of Objects / 3. Objects in Thought
The concept 'object' is too simple for analysis; unlike a function, it is an expression with no empty place [Frege]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism
I am myself, but not the external object; so I only sense myself, and not the object [Fichte]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
Self-consciousness is the basis of knowledge, and knowing something is knowing myself [Fichte]
There is nothing to say about anything which is outside my consciousness [Fichte]
Awareness of reality comes from the free activity of consciousness [Fichte]
12. Knowledge Sources / B. Perception / 6. Inference in Perception
I immediately know myself, and anything beyond that is an inference [Fichte]
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
Faith is not knowledge; it is a decision of the will [Fichte]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / b. Basic beliefs
Knowledge can't be its own foundation; there has to be regress of higher and higher authorities [Fichte]
15. Nature of Minds / A. Nature of Mind / 1. Mind / c. Features of mind
Consciousness has two parts, passively receiving sensation, and actively causing productions [Fichte]
15. Nature of Minds / B. Features of Minds / 7. Blindsight
We can't know by sight or hearing without realising that we are doing so [Fichte]
16. Persons / B. Nature of the Self / 4. Presupposition of Self
Consciousness of external things is always accompanied by an unnoticed consciousness of self [Fichte]
16. Persons / F. Free Will / 1. Nature of Free Will
Forming purposes is absolutely free, and produces something from nothing [Fichte]
The capacity for freedom is above the laws of nature, with its own power of purpose and will [Fichte]
16. Persons / F. Free Will / 2. Sources of Free Will
I want independent control of the fundamental cause of my decisions [Fichte]
17. Mind and Body / A. Mind-Body Dualism / 3. Panpsychism
Nature contains a fundamental force of thought [Fichte]
18. Thought / D. Concepts / 3. Ontology of Concepts / c. Fregean concepts
Concepts are the ontological counterparts of predicative expressions [Frege, by George/Velleman]
An assertion about the concept 'horse' must indirectly speak of an object [Frege, by Hale]
A concept is a function whose value is always a truth-value [Frege]
18. Thought / D. Concepts / 4. Structure of Concepts / a. Conceptual structure
Unlike objects, concepts are inherently incomplete [Frege, by George/Velleman]
19. Language / B. Reference / 5. Speaker's Reference
I may regard a thought about Phosphorus as true, and the same thought about Hesperus as false [Frege]
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
The will is awareness of one of our inner natural forces [Fichte]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
I cannot change the nature which has been determined for me [Fichte]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / g. Will to power
The self is, apart from outward behaviour, a drive in your nature [Fichte]
22. Metaethics / B. Value / 2. Values / g. Love
If life lacks love it becomes destruction [Fichte]
23. Ethics / F. Existentialism / 6. Authentic Self
Freedom means making yourself become true to your essential nature [Fichte]
26. Natural Theory / A. Speculations on Nature / 1. Nature
Nature is wholly interconnected, and the tiniest change affects everything [Fichte]
28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
The Ontological Argument fallaciously treats existence as a first-level concept [Frege]