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All the ideas for 'fragments/reports', 'Axiomatic Theories of Truth' and 'Unpublished Notebooks 1885-86'

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80 ideas

1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
Different abilities are needed for living in an incomplete and undogmatic system [Nietzsche]
     Full Idea: There is an entirely different strength and mobility to maintaining oneself in an incomplete system, with free, open vistas, than in a dogmatic world.
     From: Friedrich Nietzsche (Unpublished Notebooks 1885-86 [1886], 34[025])
     A reaction: This is like Keats's 'negative capability' - the ability to live in a state of uncertainty. I'm a fan of attempts to create a philosophical system, but dogmatism would seem to be the death of such a project. How would you live with your system? Nice.
1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis
Bad writers use shapeless floating splotches of concepts [Nietzsche]
     Full Idea: Bad writers have only shapeless floating splotches of concepts in their heads.
     From: Friedrich Nietzsche (Unpublished Notebooks 1885-86 [1886], 34[083])
     A reaction: Under 'conceptual analyis' not because he analyses concepts, but because he recognises their foundation importance in philosophy. I get more irritated by unchallenged concepts than by drifting concepts. Writer must know and challenge their key concepts.
1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
Analysis rests on natural language, but its ideal is a framework which revises language [Halbach]
     Full Idea: For me, although the enterprise of philosophical analysis is driven by natural language, its goal is not a linguistic analysis of English but rather an expressively strong framework that may at best be seen as a revision of English.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 12)
     A reaction: I agree, but the problem is that there are different ideals for the revision, which may be in conflict. Logicians, mathematicians, metaphysicians, scientists, moralists and aestheticians are queueing up to improve in their own way.
1. Philosophy / H. Continental Philosophy / 3. Hermeneutics
A text has many interpretations, but no 'correct' one [Nietzsche]
     Full Idea: The same text allows innumerable interpretations: there is no 'correct' interpretation.
     From: Friedrich Nietzsche (Unpublished Notebooks 1885-86 [1886], 1[120])
     A reaction: It is hard to defend a 'correct' interpretation, but I think it is obvious to students of literature that some interpretations are very silly, such as reading things allegorically when there was no such intention.
2. Reason / D. Definition / 2. Aims of Definition
An explicit definition enables the elimination of what is defined [Halbach]
     Full Idea: Explicit definitions allow for a complete elimination of the defined notion (at least in extensional contexts).
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 1)
     A reaction: If the context isn't extensional (concerning the things themselves) then we could define one description of it, but be unable to eliminate it under another description. Elimination is no the aim of an Aristotelian definition. Halbach refers to truth.
2. Reason / E. Argument / 3. Analogy
Don't trust analogies; they are no more than a guideline [Halbach]
     Full Idea: Arguments from analogy are to be distrusted: at best they can serve as heuristics.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 4)
3. Truth / A. Truth Problems / 1. Truth
Truth-value 'gluts' allow two truth values together; 'gaps' give a partial conception of truth [Halbach]
     Full Idea: Truth-value 'gluts' correspond to a so-called dialethic conception of truth; excluding gluts and admitting only 'gaps' leads to a conception of what is usually called 'partial' truth.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 15.2)
     A reaction: Talk of 'gaps' and 'gluts' seem to be the neatest way of categorising views of truth. I want a theory with no gaps or gluts.
Truth axioms prove objects exist, so truth doesn't seem to be a logical notion [Halbach]
     Full Idea: Two typed disquotation sentences, truth axioms of TB, suffice for proving that there at least two objects. Hence truth is not a logical notion if one expects logical notions to be ontologically neutral.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 21.2)
3. Truth / A. Truth Problems / 2. Defining Truth
Any definition of truth requires a metalanguage [Halbach]
     Full Idea: It is plain that the distinction between object and metalanguage is required for the definability of truth.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 11)
     A reaction: Halbach's axiomatic approach has given up on definability, and therefore it can seek to abandon the metalanguage and examine 'type-free' theories.
Traditional definitions of truth often make it more obscure, rather than less [Halbach]
     Full Idea: A common complaint against traditional definitional theories of truth is that it is far from clear that the definiens is not more in need of clarification than the definiendum (that is, the notion of truth).
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 1)
     A reaction: He refers to concepts like 'correspondence', 'facts', 'coherence' or 'utility', which are said to be trickier to understand than 'true'. I suspect that philosophers like Halbach confuse 'clear' with 'precise'. Coherence is quite clear, but imprecise.
If people have big doubts about truth, a definition might give it more credibility [Halbach]
     Full Idea: If one were wondering whether truth should be considered a legitimate notion at all, a definition might be useful in dispersing doubts about its legitimacy.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 3)
     A reaction: Halbach is proposing to skip definitions, and try to give rules for using 'true' instead, but he doesn't rule out definitions. A definition of 'knowledge' or 'virtue' or 'democracy' might equally give those credibility.
3. Truth / A. Truth Problems / 3. Value of Truth
What is the search for truth if it isn't moral? [Nietzsche]
     Full Idea: What is searching for truth, truthfulness, honesty if not something moral?
     From: Friedrich Nietzsche (Unpublished Notebooks 1885-86 [1886], 35[05])
     A reaction: Feels right to me. It might be an effect of the virtue of respect. If you respect a person you tell them the truth (assuming they want the truth). Lying to someone is a sort of contempt.
Like all philosophers, I love truth [Nietzsche]
     Full Idea: I, too, love truth, like all philosophers.
     From: Friedrich Nietzsche (Unpublished Notebooks 1885-86 [1886], 37[02])
     A reaction: Please pay attention to this remark! His perspectivalism is not a denial of truth. It is an epistemological phenomenon, not a metaphysical one. The perspectives are the nearest we can get to truth. Humanity therefore needs teamwork.
3. Truth / F. Semantic Truth / 1. Tarski's Truth / c. Meta-language for truth
Semantic theories avoid Tarski's Theorem by sticking to a sublanguage [Halbach]
     Full Idea: In semantic theories (e.g.Tarski's or Kripke's), a definition evades Tarski's Theorem by restricting the possible instances in the schema T[φ]↔φ to sentences of a proper sublanguage of the language formulating the equivalences.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 1)
     A reaction: The schema says if it's true it's affirmable, and if it's affirmable it's true. The Liar Paradox is a key reason for imposing this restriction.
3. Truth / F. Semantic Truth / 2. Semantic Truth
Disquotational truth theories are short of deductive power [Halbach]
     Full Idea: The problem of restricted deductive power has haunted disquotational theories of truth (…because they can't prove generalisations).
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 19.5)
3. Truth / G. Axiomatic Truth / 1. Axiomatic Truth
CT proves PA consistent, which PA can't do on its own, so CT is not conservative over PA [Halbach]
     Full Idea: Compositional Truth CT proves the consistency of Peano arithmetic, which is not provable in Peano arithmetic by Gödel's second incompleteness theorem. Hence the theory CT is not conservative over Peano arithmetic.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 8.6)
Axiomatic truth doesn't presuppose a truth-definition, though it could admit it at a later stage [Halbach]
     Full Idea: Choosing an axiomatic approach to truth might well be compatible with the view that truth is definable; the definability of truth is just not presupposed at the outset.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 1)
     A reaction: Is it possible that a successful axiomatisation is a successful definition?
The main semantic theories of truth are Kripke's theory, and revisions semantics [Halbach]
     Full Idea: Revision semantics is arguably the main competitor of Kripke's theory of truth among semantic truth theories. …In the former one may hope through revision to arrive at better and better models, ..sorting out unsuitable extensions of the truth predicate.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 14)
     A reaction: Halbach notes later that Kripke's theory (believe it or not) is considerably simpler than revision semantics.
To axiomatise Tarski's truth definition, we need a binary predicate for his 'satisfaction' [Halbach]
     Full Idea: If the clauses of Tarski's definition of truth are turned into axioms (as Davidson proposed) then a primitive binary predicate symbol for satisfaction is needed, as Tarski defined truth in terms of satisfaction. Standard language has a unary predicate.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 5.2)
Compositional Truth CT has the truth of a sentence depending of the semantic values of its constituents [Halbach]
     Full Idea: In the typed Compositional Truth theory CT, it is compositional because the truth of a sentence depends on the semantic values of the constituents of that sentence.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 8)
     A reaction: [axioms on p. 65 of Halbach]
Gödel numbering means a theory of truth can use Peano Arithmetic as its base theory [Halbach]
     Full Idea: Often syntactic objects are identified with their numerical codes. …Expressions of a countable formal language can be coded in the natural numbers. This allows a theory of truth to use Peano Arithmetic (with its results) as a base theory.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 2)
     A reaction: The numbering system is the famous device invented by Gödel for his great proof of incompleteness. This idea is a key to understanding modern analytic philosophy. It is the bridge which means philosophical theories can be treated mathematically.
Truth axioms need a base theory, because that is where truth issues arise [Halbach]
     Full Idea: Considering the truth axioms in the absence of a base theory is not very sensible because characteristically truth theoretic reasoning arises from the interplay of the truth axioms with the base theory.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 21.2)
     A reaction: The base theory usually seems to be either Peano arithmetic or set theory. We might say that introverted thought (e.g. in infants) has little use for truth; it is when you think about the world that truth becomes a worry.
We know a complete axiomatisation of truth is not feasible [Halbach]
     Full Idea: In the light of incompleteness phenomena, one should not expect a categorical axiomatisation of truth to be feasible, but this should not keep one from studying axiomatic theories of truth (or of arithmetic).
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 3)
     A reaction: This, of course, is because of Gödel's famous results. It is important to be aware in this field that there cannot be a dream of a final theory, so we are just seeing what can be learned about truth.
A theory is 'conservative' if it adds no new theorems to its base theory [Halbach, by PG]
     Full Idea: A truth theory is 'conservative' if the addition of the truth predicate does not add any new theorems to the base theory.
     From: report of Volker Halbach (Axiomatic Theories of Truth [2011], 6 Df 6.6) by PG - Db (ideas)
     A reaction: Halbach presents the definition more formally, and this is my attempt at getting it into plain English. Halbach uses Peano Arithmetic as his base theory, but set theory is also sometimes used.
The Tarski Biconditional theory TB is Peano Arithmetic, plus truth, plus all Tarski bi-conditionals [Halbach]
     Full Idea: The truth theory TB (Tarski Biconditional) is all the axioms of Peano Arithmetic, including all instances of the induction schema with the truth predicate, plus all the sentences of the form T[φ] ↔ φ.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 7)
     A reaction: The biconditional formula is the famous 'snow is white' iff snow is white. The truth of the named sentence is equivalent to asserting the sentence. This is a typed theory of truth, and it is conservative over PA.
Theories of truth are 'typed' (truth can't apply to sentences containing 'true'), or 'type-free' [Halbach]
     Full Idea: I sort theories of truth into the large families of 'typed' and 'type-free'. Roughly, typed theories prohibit a truth predicate's application to sentences with occurrences of that predicate, and one cannot prove the truth of sentences containing 'true'.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], II Intro)
     A reaction: The problem sentence the typed theories are terrified of is the Liar Sentence. Typing produces a hierarchy of languages, referring down to the languages below them.
3. Truth / G. Axiomatic Truth / 2. FS Truth Axioms
Friedman-Sheard is type-free Compositional Truth, with two inference rules for truth [Halbach]
     Full Idea: The Friedman-Sheard truth system FS is based on compositional theory CT. The axioms of FS are obtained by relaxing the type restriction on the CT-axioms, and adding rules inferring sentences from their truth, and vice versa.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 15)
     A reaction: The rules are called NEC and CONEC by Halbach. The system FSN is FS without the two rules.
3. Truth / G. Axiomatic Truth / 3. KF Truth Axioms
Kripke-Feferman theory KF axiomatises Kripke fixed-points, with Strong Kleene logic with gluts [Halbach]
     Full Idea: The Kripke-Feferman theory KF is an axiomatisation of the fixed points of an operator, that is, of a Kripkean fixed-point semantics with the Strong Kleene evaluation schema with truth-value gluts.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 15.1)
The KF is much stronger deductively than FS, which relies on classical truth [Halbach]
     Full Idea: The Kripke-Feferman theory is relatively deductively very strong. In particular, it is much stronger than its competitor FS, which is based on a completely classical notion of truth.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 15.3)
The KF theory is useful, but it is not a theory containing its own truth predicate [Halbach]
     Full Idea: KF is useful for explicating Peano arithmetic, but it certainly does not come to close to being a theory that contains its own truth predicate.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 16)
     A reaction: Since it is a type-free theory, its main philosophical aspiration was to contain its own truth predicate, so that is bad news (for philosophers).
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
Some say deflationism is axioms which are conservative over the base theory [Halbach]
     Full Idea: Some authors have tried to understand the deflationist claim that truth is not a substantial notion as the claim that a satisfactory axiomatisation of truth should be conservative over the base theory.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 8)
Deflationism says truth is a disquotation device to express generalisations, adding no new knowledge [Halbach]
     Full Idea: There are two doctrines at the core of deflationism. The first says truth is a device of disquotation used to express generalisations, and the second says truth is a thin notion that contributes nothing to our knowledge of the world
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 21)
The main problem for deflationists is they can express generalisations, but not prove them [Halbach]
     Full Idea: The main criticism that deflationist theories based on the disquotation sentences or similar axioms have to meet was raised by Tarski: the disquotation sentences do not allow one to prove generalisations.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 7)
Deflationists say truth is just for expressing infinite conjunctions or generalisations [Halbach]
     Full Idea: Deflationists do not hold that truth is completely dispensable. They claim that truth serves the purpose of expressing infinite conjunctions or generalisations.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 7)
     A reaction: It is also of obvious value as a shorthand in ordinary conversation, but rigorous accounts can paraphrase that out. 'What he said is true'. 'Pick out the true sentences from p,q,r and s' seems to mean 'affirm some of them'. What does 'affirm' mean?
Compositional Truth CT proves generalisations, so is preferred in discussions of deflationism [Halbach]
     Full Idea: Compositional Truth CT and its variants has desirable generalisations among its logical consequences, so they seem to have ousted purely disquotational theories such as TB in the discussion on deflationism.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 8)
4. Formal Logic / E. Nonclassical Logics / 3. Many-Valued Logic
In Strong Kleene logic a disjunction just needs one disjunct to be true [Halbach]
     Full Idea: In Strong Kleene logic a disjunction of two sentences is true if at least one disjunct is true, even when the other disjunct lacks a truth value.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 18)
     A reaction: This sounds fine to me. 'Either I'm typing this or Homer had blue eyes' comes out true in any sensible system.
In Weak Kleene logic there are 'gaps', neither true nor false if one component lacks a truth value [Halbach]
     Full Idea: In Weak Kleene Logic, with truth-value gaps, a sentence is neither true nor false if one of its components lacks a truth value. A line of the truth table shows a gap if there is a gap anywhere in the line, and the other lines are classical.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 18)
     A reaction: This will presumably apply even if the connective is 'or', so a disjunction won't be true, even if one disjunct is true, when the other disjunct is unknown. 'Either 2+2=4 or Lot's wife was left-handed' sounds true to me. Odd.
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Every attempt at formal rigour uses some set theory [Halbach]
     Full Idea: Almost any subject with any formal rigour employs some set theory.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 4.1)
     A reaction: This is partly because mathematics is often seen as founded in set theory, and formal rigour tends to be mathematical in character.
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
The underestimated costs of giving up classical logic are found in mathematical reasoning [Halbach]
     Full Idea: The costs of giving up classical logic are easily underestimated, …the price being paid in terms of mathematical reasoning.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 16.2)
     A reaction: No one cares much about such costs, until you say they are 'mathematical'. Presumably this is a message to Graham Priest and his pals.
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
Logic is a fiction, which invents the view that one thought causes another [Nietzsche]
     Full Idea: The model of a complete fiction is logic. Here a thinking is made up where a thought is posited as the cause of another thought.
     From: Friedrich Nietzsche (Unpublished Notebooks 1885-86 [1886], 34[249])
     A reaction: He could almost be referring to Frege's Third Realm. Most hard core analytic philosophers seem to think that propositions have tight logical relationships which are nothing to do with the people who think them.
5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic
A theory is some formulae and all of their consequences [Halbach]
     Full Idea: A theory is a set of formulae closed under first-order logical consequence.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 5.1)
5. Theory of Logic / K. Features of Logics / 3. Soundness
You cannot just say all of Peano arithmetic is true, as 'true' isn't part of the system [Halbach]
     Full Idea: One cannot just accept that all the theorems of Peano arithmetic are true when one accepts Peano arithmetic as the notion of truth is not available in the language of arithmetic.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 22.1)
     A reaction: This is given as the reason why Kreisel and Levy (1968) introduced 'reflection principles', which allow you to assert whatever has been proved (with no mention of truth). (I think. The waters are closing over my head).
Normally we only endorse a theory if we believe it to be sound [Halbach]
     Full Idea: If one endorses a theory, so one might argue, one should also take it to be sound.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 22.1)
Soundness must involve truth; the soundness of PA certainly needs it [Halbach]
     Full Idea: Soundness seems to be a notion essentially involving truth. At least I do not know how to fully express the soundness of Peano arithmetic without invoking a truth predicate.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 22.1)
     A reaction: I suppose you could use some alternative locution such as 'assertible' or 'cuddly'. Intuitionists seem a bit vague about the truth end of things.
5. Theory of Logic / L. Paradox / 1. Paradox
Many new paradoxes may await us when we study interactions between frameworks [Halbach]
     Full Idea: Paradoxes that arise from interaction of predicates such as truth, necessity, knowledge, future and past truths have receive little attention. There may be many unknown paradoxes lurking when we develop frameworks with these intensional notions.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 24.2)
     A reaction: Nice. This is a wonderful pointer to new research in the analytic tradition, in which formal problems will gradually iron out our metaphysical framework.
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
The liar paradox applies truth to a negated truth (but the conditional will serve equally) [Halbach]
     Full Idea: An essential feature of the liar paradox is the application of the truth predicate to a sentence with a negated occurrence of the truth predicate, though the negation can be avoided by using the conditional.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 19.3)
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
Numbers enable us to manage the world - to the limits of counting [Nietzsche]
     Full Idea: Numbers are our major means of making the world manageable. We comprehend as far as we can count, i.e. as far as a constancy can be perceived.
     From: Friedrich Nietzsche (Unpublished Notebooks 1885-86 [1886], 34[058])
     A reaction: I don't agree with 'major', but it is a nice thought. The intermediate concept is a 'unit', which means identifying something as a 'thing', which is how we seem to grasp the world. So to what extent do we comprehend the infinite. Enter Cantor…
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
The compactness theorem can prove nonstandard models of PA [Halbach]
     Full Idea: Nonstandard models of Peano arithmetic are models of PA that are not isomorphic to the standard model. Their existence can be established with the compactness theorem or the adequacy theorem of first-order logic.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 8.3)
The global reflection principle seems to express the soundness of Peano Arithmetic [Halbach]
     Full Idea: The global reflection principle ∀x(Sent(x) ∧ Bew[PA](x) → Tx) …seems to be the full statement of the soundness claim for Peano arithmetic, as it expresses that all theorems of Peano arithmetic are true.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 22.1)
     A reaction: That is, an extra principle must be introduced to express the soundness. PA is, of course, not complete.
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
To reduce PA to ZF, we represent the non-negative integers with von Neumann ordinals [Halbach]
     Full Idea: For the reduction of Peano Arithmetic to ZF set theory, usually the set of finite von Neumann ordinals is used to represent the non-negative integers.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 6)
     A reaction: Halbach makes it clear that this is just one mode of reduction, relative interpretability.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
Set theory was liberated early from types, and recent truth-theories are exploring type-free [Halbach]
     Full Idea: While set theory was liberated much earlier from type restrictions, interest in type-free theories of truth only developed more recently.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 4)
     A reaction: Tarski's theory of truth involves types (or hierarchies).
7. Existence / B. Change in Existence / 4. Events / c. Reduction of events
Events are just interpretations of groups of appearances [Nietzsche]
     Full Idea: There is no event in itself. What happens is a group of appearances selected and summarised by an interpreting being.
     From: Friedrich Nietzsche (Unpublished Notebooks 1885-86 [1886], 1[115])
     A reaction: Since innumerable events are nested within one another, such as the events at a carnival, this is obviously true. A primitive 'Kim event' (an object changes a property) might have objective existence. Carnivals happen, though.
7. Existence / C. Structure of Existence / 2. Reduction
That Peano arithmetic is interpretable in ZF set theory is taken by philosophers as a reduction [Halbach]
     Full Idea: The observation that Peano arithmetic is relatively interpretable in ZF set theory is taken by many philosophers to be a reduction of numbers to sets.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 23)
     A reaction: Nice! Being able to express something in a different language is not the same as a reduction. Back to the drawing board. What do you really mean by a reduction? If we model something, we don't 'reduce' it to the model.
10. Modality / A. Necessity / 2. Nature of Necessity
Maybe necessity is a predicate, not the usual operator, to make it more like truth [Halbach]
     Full Idea: Should necessity be treated as a predicate rather than (as in modal logic) as a sentential operator? It is odd to assign different status to necessity and truth, hampering their interaction. That all necessities are true can't be expressed by an operator.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 24.2)
     A reaction: [compressed] Halbach and Horsten consistently treat truth as a predicate, but maybe truth is an operator. Making necessity a predicate and not an operator would be a huge upheaval in the world of modal logic. Nice move!
11. Knowledge Aims / B. Certain Knowledge / 5. Cogito Critique
The 'I' does not think; it is a construction of thinking, like other useful abstractions [Nietzsche]
     Full Idea: I do not grant to the metaphysicians that the 'I' is what thinks: on the contrary I take the I itself as a construction thinking, of the same rank as 'material',' thing', 'substance', 'purpose', 'number': therefore only as a regulative fiction.
     From: Friedrich Nietzsche (Unpublished Notebooks 1885-86 [1886], 35[35])
     A reaction: Ah. I have always defended the Self, the thing that is in charge when the mind is directed to something. I suddenly see that this is compatible with the Self not being the thinker! It is just the willer, and the controller of the searchlight. Self = will?
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
Appearance is the sole reality of things, to which all predicates refer [Nietzsche]
     Full Idea: Appearance as I understand it is the actual and single reality of things - that which first merits all existing predicates.
     From: Friedrich Nietzsche (Unpublished Notebooks 1885-86 [1886], 40[53])
     A reaction: This is the view espoused by John Stuart Mill (a fact which would shock Nietzsche!). Elsewhere he laughs at the concept of the thing-in-itself as a fiction.
12. Knowledge Sources / E. Direct Knowledge / 4. Memory
Memory is essential, and is only possible by means of abbreviation signs [Nietzsche]
     Full Idea: Experience is only possible with the help of memory; memory is only possible by virtue of an abbreviation of an intellectual event as a sign.
     From: Friedrich Nietzsche (Unpublished Notebooks 1885-86 [1886], 34[249])
     A reaction: My memory of a town is not formed as a sign, but as a bunch of miscellaneous fragments about it. I think mental files gives a better account of this than do 'signs'.
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / c. Coherentism critique
Schematic minds think thoughts are truer if they slot into a scheme [Nietzsche]
     Full Idea: There are schematic minds, those who hold a thought-complex to be truer if it can be sketched into previously drafted schemata or categorical tables. There are countless self-deceptions in this area: nearly all the great 'systems' belong here.
     From: Friedrich Nietzsche (Unpublished Notebooks 1885-86 [1886], 40[09])
     A reaction: Why 'nearly all'? Aristotle might be a candidate for such a person. Leibniz, perhaps. Nietzsche identified with Becoming and Heraclitus, as opposed to Being and Parmenides.
13. Knowledge Criteria / E. Relativism / 1. Relativism
Each of our personal drives has its own perspective [Nietzsche]
     Full Idea: From the standpoint of each of our fundamental drives there is a different perspectival assessment of all events and experiences.
     From: Friedrich Nietzsche (Unpublished Notebooks 1885-86 [1886], 1[058])
     A reaction: Revealing. Perspectives are not just each individual person's viewpoint, but something more fine-grained than that. Our understanding and response are ambiguous, because we ourselves are intrinsically ambiguous. Super-relativism!
15. Nature of Minds / A. Nature of Mind / 1. Mind / b. Purpose of mind
The mind is a simplifying apparatus [Nietzsche]
     Full Idea: The intellect and the senses are above all a simplifying apparatus.
     From: Friedrich Nietzsche (Unpublished Notebooks 1885-86 [1886], 34[046])
     A reaction: Very plausible, and not an idea I have met elsewhere. There's a PhD here for someone. It fits with my view as universals in language (which is most of language), which capture diverse things by ironing out their differences.
15. Nature of Minds / B. Features of Minds / 1. Consciousness / f. Higher-order thought
Consciousness is our awareness of our own mental life [Nietzsche]
     Full Idea: We have a double brain: our capacity to will, to feel and to think of our willing, feeling, thinking ourselves is what we summarise with the word 'consciousness'.
     From: Friedrich Nietzsche (Unpublished Notebooks 1885-86 [1886], 34[087])
     A reaction: Pretty much the modern HOT (higher order thought) theory of consciousness. Higher order thought distinguishes us from the other animals, but I think they too are probably conscious, so I don't agree. Why is level 2 conscious of level 1?
15. Nature of Minds / C. Capacities of Minds / 1. Faculties
Minds have an excluding drive to scare things off, and a selecting one to filter facts [Nietzsche]
     Full Idea: In our conscious intellect there must be an excluding drive that scares things away, a selecting one, which only permits certain facts to present themselves.
     From: Friedrich Nietzsche (Unpublished Notebooks 1885-86 [1886], 34[131])
     A reaction: I like this because he is endorsing the idea that philosophy needs faculties, which may not match the views of psychologists and neuroscientists. Quite nice to think of faculties as drives.
15. Nature of Minds / C. Capacities of Minds / 10. Conatus/Striving
The greatest drive of life is to discharge strength, rather than preservation [Nietzsche]
     Full Idea: Something that lives wants above all to discharge its strength: 'preservation' is only one of the consequences of this.
     From: Friedrich Nietzsche (Unpublished Notebooks 1885-86 [1886], 2[063])
     A reaction: This seems to fit a dynamic man like Nietzsche, rather than someone who opts for a quiet and comfortable life.
16. Persons / F. Free Will / 6. Determinism / a. Determinism
That all events are necessary does not mean they are compelled [Nietzsche]
     Full Idea: The absolute necessity of all events contains nothing of a compulsion.
     From: Friedrich Nietzsche (Unpublished Notebooks 1885-86 [1886], 1[114])
     A reaction: I like to look for necessity-makers behind necessities. So if the event is not necessary because of its cause, where does it come from? Is it that the whole sequence is a unified necessity?
18. Thought / D. Concepts / 1. Concepts / a. Nature of concepts
Concepts are rough groups of simultaneous sensations [Nietzsche]
     Full Idea: Concepts are more or less definite groups of sensations that arrive together.
     From: Friedrich Nietzsche (Unpublished Notebooks 1885-86 [1886], 34[086])
     A reaction: I like this because I favour accounts of concepts which root them in experience, and largely growing unthinking out of communcal experience. Nietzsche is very empirical here. Hume would probably agree.
Concepts don’t match one thing, but many things a little bit [Nietzsche]
     Full Idea: A concept is an invention that doesn't correspond entirely to anything; but to many things a little bit.
     From: Friedrich Nietzsche (Unpublished Notebooks 1885-86 [1886], 34[131])
     A reaction: This seems to cover some concepts quite well, but others not at all. What else does 'square' correspond to?
18. Thought / D. Concepts / 2. Origin of Concepts / a. Origin of concepts
Whatever their origin, concepts survive by being useful [Nietzsche]
     Full Idea: The most useful concepts have survived: however falsely they may have originated.
     From: Friedrich Nietzsche (Unpublished Notebooks 1885-86 [1886], 34[063])
     A reaction: The germ of both pragmatism, and of meaning-as-use, here. The alternative views must be that the concepts are accurate or true, or that they are simply a matter of whim, maintained by authority.
19. Language / D. Propositions / 1. Propositions
Thought starts as ambiguity, in need of interpretation and narrowing [Nietzsche]
     Full Idea: A thought in the shape in which it comes is an ambiguous sign that needs interpretation, more precisely, needs an arbitrary narrowing-down and limitation, until it finally becomes unambiguous.
     From: Friedrich Nietzsche (Unpublished Notebooks 1885-86 [1886], 38[01])
     A reaction: This is exactly my view of propositions, as mental events. Introspect your thinking process. Track the progress from the first glimmer of a thought to its formulation in a finished sentence. Language, unlike propositions, can be ambiguous.
19. Language / D. Propositions / 4. Mental Propositions
We need propositions to ascribe the same beliefs to people with different languages [Halbach]
     Full Idea: Being able to ascribe the same proposition as a belief to persons who do not have a common language seems to be one of the main reasons to employ propositions.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 2)
     A reaction: Propositions concern beliefs, as well as sentence meanings. I would want to say that a dog and I could believe the same thing, and that is a non-linguistic reason to believe in propositions. Maybe 'translation' cuts out the proposition middleman?
21. Aesthetics / A. Aesthetic Experience / 1. Aesthetics
Aesthetics can be more basic than morality, in our pleasure in certain patterns of experience [Nietzsche]
     Full Idea: Some of the aesthetic valuations are more fundamental than the moral ones e.g. the pleasure in what is ordered, surveyable, limited, in repetition. The logical, arithmetical and geometrical good feelings form the ground floor of aesthetic valuations.
     From: Friedrich Nietzsche (Unpublished Notebooks 1885-86 [1886], 35[02])
     A reaction: Nietzsche's originality is so striking because his novel suggestions are always plausible. Lots of modern philosophers (especially, I fear, in the continental tradition) throw out startling ideas which then fail on closer inspection.
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
     Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice.
     From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where?
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / f. Übermensch
Caesar and Napoleon point to the future, when they pursue their task regardless of human sacrifice [Nietzsche]
     Full Idea: In nature's such as Caesar and Napoleon we intuit something of a 'disinterested' laboring on one's marble, regardless of any sacrifice of human beings. The future of the highest human beings lies on here: to bear responsibility and not collapse under it.
     From: Friedrich Nietzsche (Unpublished Notebooks 1885-86 [1886], 1[056])
     A reaction: Hideous. Nietzsche at his absolute worst. You would think there was some wonderful higher good to which they were leading the human race, when they just strike me as people who liked fighting, and adored winning.
Napoleon was very focused, and rightly ignored compassion [Nietzsche]
     Full Idea: With Napoleon only the essential instincts of humanity came into consideration during his calculations, and he had a right not to take notice of the exceptional ones e.g. of compassion.
     From: Friedrich Nietzsche (Unpublished Notebooks 1885-86 [1886], 34[131])
     A reaction: Napoleon was notoriously indifferent to casualties, and I find it depressing that Nietzsche supports him. Napoleon brought misery to Europe for nearly twenties, mainly because he loved winning battles. Nothing über about that.
23. Ethics / F. Existentialism / 2. Nihilism
For the strongest people, nihilism gives you wings! [Nietzsche]
     Full Idea: In the hands of the strongest every kind of pessimism and nihilism becomes only one more hammer and tool with which one mounts a new pair of wings on oneself.
     From: Friedrich Nietzsche (Unpublished Notebooks 1885-86 [1886], 2[101])
     A reaction: Not sure how this works. Why is great strength needed? Strength implies forceful overcoming. The wings come from rejecting nihilism, but why does that need strength? Aren't there people with wings who never even thought of nihilism?
24. Political Theory / B. Nature of a State / 1. Purpose of a State
The great question is approaching, of how to govern the earth as a whole [Nietzsche]
     Full Idea: It is approaching, irrefutably, hesitatingly, terrible as fate, the great task and fate: how should the earth as a whole be governed?
     From: Friedrich Nietzsche (Unpublished Notebooks 1885-86 [1886], 37[08])
     A reaction: Two issues have accelerated the question, though we have yet to properly face it. One is the incredible increase in military destructiveness, and other is the damage to the planet caused by the relentless pursuit of wealth.
24. Political Theory / C. Ruling a State / 2. Leaders / d. Elites
The controlling morality of aristocracy is the desire to resemble their ancestors [Nietzsche]
     Full Idea: The foundation of all aristocracies …is to resemble the ancestors as much as possible, which serves as the controlling morality: mourning at the thought of change and variation.
     From: Friedrich Nietzsche (Unpublished Notebooks 1885-86 [1886], 35[22])
     A reaction: This makes sense of the permanent residence of the family, full of portraits and family trees. Aristocrats preserve records of their predecessors, in a way that most of us don't, going back before grandparents.
24. Political Theory / D. Ideologies / 14. Nationalism
People feel united as a nation by one language, but then want a common ancestry and history [Nietzsche]
     Full Idea: People who speak one language and read the same newspapers today call themselves 'nations', and also want much too eagerly to be of common ancestry and history.
     From: Friedrich Nietzsche (Unpublished Notebooks 1885-86 [1886], 34[203])
     A reaction: This sort of nationalism is still with us, as white supremacy, and as history as mythology. But we can't just shake off a sense of which gene pools we come from, and which lines of history are our personal inheritance.
25. Social Practice / C. Rights / 4. Property rights
To be someone you need property, and wanting more is healthy [Nietzsche]
     Full Idea: Property owners are to a man of one belief: 'you have to own something to be something'. But this is the oldest and healthiest of all instincts: I would add 'you have to want more than you have in order to become more'.
     From: Friedrich Nietzsche (Unpublished Notebooks 1885-86 [1886], 37[11])
     A reaction: An odd idea from someone who spent his later years living in one room in a guest house. The context of this is a rejection of socialism. The love of and need for property and possessions must be taken into account in any politics.
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
Laws of nature are actually formulas of power relations [Nietzsche]
     Full Idea: The alleged 'laws of nature' are formulas for power relationships…
     From: Friedrich Nietzsche (Unpublished Notebooks 1885-86 [1886], 34[247])
     A reaction: Love it. This is precisely the powers ontology of modern philosophy of science. His Will to Power is not often recognised as closely related to this view.
27. Natural Reality / F. Chemistry / 1. Chemistry
In chemistry every substance pushes, and thus creates new substances [Nietzsche]
     Full Idea: In chemistry is revealed that every substance pushes its force as far as it can, then a third something emerges.
     From: Friedrich Nietzsche (Unpublished Notebooks 1885-86 [1886], 34[51])
     A reaction: This is the ontology of powers as the basis of science, of which I am a fan. It is Nietzsche's Will to Power in action, which is often mistakenly taken to only refer to human affairs.