Combining Texts

All the ideas for 'A Future for Presentism', 'The Vocation of Man' and 'Structures and Structuralism in Phil of Maths'

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56 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]
Is Sufficient Reason self-refuting (no reason to accept it!), or is it a legitimate explanatory tool? [Bourne]
3. Truth / F. Semantic Truth / 2. Semantic Truth
While true-in-a-model seems relative, true-in-all-models seems not to be [Reck/Price]
3. Truth / H. Deflationary Truth / 1. Redundant Truth
The redundancy theory conflates metalinguistic bivalence with object-language excluded middle [Bourne]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
ZFC set theory has only 'pure' sets, without 'urelements' [Reck/Price]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
Three types of variable in second-order logic, for objects, functions, and predicates/sets [Reck/Price]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
'Analysis' is the theory of the real numbers [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
Mereological arithmetic needs infinite objects, and function definitions [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
Peano Arithmetic can have three second-order axioms, plus '1' and 'successor' [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set-theory gives a unified and an explicit basis for mathematics [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Structuralism emerged from abstract algebra, axioms, and set theory and its structures [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / b. Varieties of structuralism
Relativist Structuralism just stipulates one successful model as its arithmetic [Reck/Price]
There are 'particular' structures, and 'universal' structures (what the former have in common) [Reck/Price]
Pattern Structuralism studies what isomorphic arithmetic models have in common [Reck/Price]
There are Formalist, Relativist, Universalist and Pattern structuralism [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Formalist Structuralism says the ontology is vacuous, or formal, or inference relations [Reck/Price]
Maybe we should talk of an infinity of 'possible' objects, to avoid arithmetic being vacuous [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / d. Platonist structuralism
Universalist Structuralism is based on generalised if-then claims, not one particular model [Reck/Price]
Universalist Structuralism eliminates the base element, as a variable, which is then quantified out [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
The existence of an infinite set is assumed by Relativist Structuralism [Reck/Price]
8. Modes of Existence / A. Relations / 1. Nature of Relations
All relations between spatio-temporal objects are either spatio-temporal, or causal [Bourne]
It is a necessary condition for the existence of relations that both of the relata exist [Bourne]
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 / C. Powers and Dispositions / 2. Powers as Basic
The principle of activity and generation is found in a self-moving basic force [Fichte]
8. Modes of Existence / E. Nominalism / 6. Mereological Nominalism
A nominalist might avoid abstract objects by just appealing to mereological sums [Reck/Price]
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]
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]
27. Natural Reality / B. Modern Physics / 1. Relativity / a. Special relativity
The idea of simultaneity in Special Relativity is full of verificationist assumptions [Bourne]
Relativity denies simultaneity, so it needs past, present and future (unlike Presentism) [Bourne]
27. Natural Reality / D. Time / 1. Nature of Time / a. Absolute time
Special Relativity allows an absolute past, future, elsewhere and simultaneity [Bourne]
27. Natural Reality / D. Time / 1. Nature of Time / g. Growing block
No-Futurists believe in past and present, but not future, and say the world grows as facts increase [Bourne]
27. Natural Reality / D. Time / 1. Nature of Time / h. Presentism
How can presentists talk of 'earlier than', and distinguish past from future? [Bourne]
Presentism seems to deny causation, because the cause and the effect can never coexist [Bourne]
Since presentists treat the presentness of events as basic, simultaneity should be define by that means [Bourne]
27. Natural Reality / D. Time / 2. Passage of Time / d. Time series
Time is tensed or tenseless; the latter says all times and objects are real, and there is no passage of time [Bourne]
B-series objects relate to each other; A-series objects relate to the present [Bourne]
27. Natural Reality / D. Time / 2. Passage of Time / e. Tensed (A) series
Time flows, past is fixed, future is open, future is feared but not past, we remember past, we plan future [Bourne]