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All the ideas for 'The Fixation of Belief', 'Logical Necessity: Some Issues' and 'The Philosopher's Toolkit'

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43 ideas

1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
Metaphysics does not rest on facts, but on what we are inclined to believe [Peirce]
     Full Idea: Metaphysical systems have not usually rested upon any observed facts, or not in any great degree. They are chiefly adopted because their fundamental propositions seem 'agreeable to reason', which means that which we find ourselves inclined to believe.
     From: Charles Sanders Peirce (The Fixation of Belief [1877], p.15)
     A reaction: This leads to Peirce's key claim - that we should allow our beliefs to be formed by something outside of ourselves. I don't share Peirce's contempt for metaphysics, which I take to be about the most abstract presuppositions of our ordinary beliefs.
2. Reason / A. Nature of Reason / 4. Aims of Reason
Reason aims to discover the unknown by thinking about the known [Peirce]
     Full Idea: The object of reasoning is to find out, from the consideration of what we already know, something else which we do not know.
     From: Charles Sanders Peirce (The Fixation of Belief [1877], p. 7)
     A reaction: I defy anyone to come up with a better definition of reasoning than that. The emphasis is on knowledge rather than truth, which you would expect from a pragmatist. …Actually the definition doesn't cover conditional reasoning terribly well.
2. Reason / B. Laws of Thought / 2. Sufficient Reason
The Principle of Sufficient Reason does not presuppose that all explanations will be causal explanations [Baggini /Fosl]
     Full Idea: The Principle of Sufficient Reason does not presuppose that all explanations will be causal explanations.
     From: J Baggini / PS Fosl (The Philosopher's Toolkit [2003], §3.28)
     A reaction: This sounds a reasonable note of caution, but doesn't carry much weight unless some type of non-causal reason can be envisaged. God's free will? Our free will? The laws of causation?
2. Reason / B. Laws of Thought / 3. Non-Contradiction
You cannot rationally deny the principle of non-contradiction, because all reasoning requires it [Baggini /Fosl]
     Full Idea: Anyone who denies the principle of non-contradiction simultaneously affirms it; it cannot be rationally criticised, because it is presupposed by all rationality.
     From: J Baggini / PS Fosl (The Philosopher's Toolkit [2003], §1.12)
     A reaction: Nietzsche certainly wasn't afraid to ask why we should reject something because it is a contradiction. The 'logic of personal advantage' might allow logical contradictions.
2. Reason / C. Styles of Reason / 1. Dialectic
Dialectic aims at unified truth, unlike analysis, which divides into parts [Baggini /Fosl]
     Full Idea: Dialectic can be said to aim at wholeness or unity, while 'analytic' thinking divides that with which it deals into parts.
     From: J Baggini / PS Fosl (The Philosopher's Toolkit [2003], §2.03)
     A reaction: I don't accept this division (linked here to Hegel). I am a fan of analysis, as practised by Aristotle, but it is like dismantling an engine to identify and clean the parts, before reassembling it more efficiently.
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
'Natural' systems of deduction are based on normal rational practice, rather than on axioms [Baggini /Fosl]
     Full Idea: A 'natural' system of deduction does not posit any axioms, but looks instead for its formulae to the practices of ordinary rationality.
     From: J Baggini / PS Fosl (The Philosopher's Toolkit [2003], §1.09)
     A reaction: Presumably there is some middle ground, where we attempt to infer the axioms of normal practice, and then build a strict system on them. We must be allowed to criticise 'normal' rationality, I hope.
In ideal circumstances, an axiom should be such that no rational agent could possibly object to its use [Baggini /Fosl]
     Full Idea: In ideal circumstances, an axiom should be such that no rational agent could possibly object to its use.
     From: J Baggini / PS Fosl (The Philosopher's Toolkit [2003], §1.09)
     A reaction: Yes, but the trouble is that all our notions of 'rational' (giving reasons, being consistent) break down when we look at unsupported axioms. In what sense is something rational if it is self-evident?
5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
The principle of bivalence distorts reality, as when claiming that a person is or is not 'thin' [Baggini /Fosl]
     Full Idea: Forcing everything into the straightjacket of bivalence seriously distorts the world. The problem is most acute in the case of vague concepts, such as thinness. It is not straightforwardly true or false that a person is thin.
     From: J Baggini / PS Fosl (The Philosopher's Toolkit [2003], §3.03)
     A reaction: Can't argue with that. Can we divide all our concepts into either bivalent or vague? Presumably both propositions and concepts could be bivalent.
7. Existence / D. Theories of Reality / 2. Realism
Realism is basic to the scientific method [Peirce]
     Full Idea: The fundamental hypothesis of the method of science is this: There are real things, whose characters are entirely independent of our opinion of them.
     From: Charles Sanders Peirce (The Fixation of Belief [1877]), quoted by Albert Atkin - Peirce 3 'method'
     A reaction: He admits later that this is only a commitment and not a fact. It seems to me that when you combine this idea with the huge success of science, the denial of realism is crazy. Philosophy has a lot to answer for.
7. Existence / D. Theories of Reality / 4. Anti-realism
If someone doubted reality, they would not actually feel dissatisfaction [Peirce]
     Full Idea: Nobody can really doubt that there are Reals, for, if he did, doubt would not be a source of dissatisfaction.
     From: Charles Sanders Peirce (The Fixation of Belief [1877], p.19)
     A reaction: This rests on Peirce's view that all that really matters is a sense of genuine dissatisfaction, rather than a theoretical idea. So even at the end of Meditation One, Descartes isn't actually worried about whether his furniture exists.
9. Objects / F. Identity among Objects / 3. Relative Identity
If identity is based on 'true of X' instead of 'property of X' we get the Masked Man fallacy ('I know X but not Y') [Baggini /Fosl, by PG]
     Full Idea: The Masked Man fallacy is when Leibniz's Law is taken as 'X and Y are identical if what is true of X is true of Y' (rather than being about properties). Then 'I know X' but 'I don't know Y' (e.g. my friend wearing a mask) would make X and Y non-identical.
     From: report of J Baggini / PS Fosl (The Philosopher's Toolkit [2003], §3.17) by PG - Db (ideas)
     A reaction: As the book goes on to explain, Descartes is guilty of this when arguing that I necessarily know my mind but not my body, so they are different. Seems to me that Kripke falls into the same trap.
9. Objects / F. Identity among Objects / 4. Type Identity
'I have the same car as you' is fine; 'I have the same fiancée as you' is not so good [Baggini /Fosl]
     Full Idea: If you found that I had the same car as you, I don't suppose you would care, but if you found I had the same fiancée as you, you might not be so happy.
     From: J Baggini / PS Fosl (The Philosopher's Toolkit [2003], §4.17)
     A reaction: A very nice illustration of the ambiguity of "same", and hence of identity. 'I had the same thought as you'. 'I have the same DNA as you'.
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
Leibniz's Law is about the properties of objects; the Identity of Indiscernibles is about perception of objects [Baggini /Fosl]
     Full Idea: Leibniz's Law ('if identical, must have same properties') defines identity according to the properties possessed by the object itself, but the Identity of Indiscernibles defines identity in terms of how things are conceived or grasped by the mind.
     From: J Baggini / PS Fosl (The Philosopher's Toolkit [2003], §3.16)
     A reaction: This is the heart of the problem of identity. We realists must fight for Leibniz's Law, and escort the Identity of Indiscernibles to the door.
10. Modality / A. Necessity / 3. Types of Necessity
Is 'events have causes' analytic a priori, synthetic a posteriori, or synthetic a priori? [Baggini /Fosl]
     Full Idea: Of the proposition that "all experienced events have causes", Descartes says this is analytic a priori, Hume says it is synthetic a posteriori, and Kant says it is synthetic a priori.
     From: J Baggini / PS Fosl (The Philosopher's Toolkit [2003], §4.01)
     A reaction: I am not sympathetic to Hume on this (though most people think he is right). I prefer the Kantian view, but he makes a very large claim. Something has to be intuitive.
10. Modality / A. Necessity / 6. Logical Necessity
Logical necessity overrules all other necessities [McFetridge]
     Full Idea: If it is logically necessary that if p then q, then there is no other sense of 'necessary' in which it is not necessary that if p then q.
     From: Ian McFetridge (Logical Necessity: Some Issues [1986], §1)
     A reaction: The thesis which McFetridge proposes to defend. The obvious rival would be metaphysical necessity, and the rival claim would presumably be that things are only logically necessary if that is entailed by a metaphysical necessity. Metaphysics drives logic.
The fundamental case of logical necessity is the valid conclusion of an inference [McFetridge, by Hale]
     Full Idea: McFetridge's conception of logical necessity is one which sees the concept as receiving its fundamental exemplification in the connection between the premiss and conclusion of a deductively valid inference.
     From: report of Ian McFetridge (Logical Necessity: Some Issues [1986]) by Bob Hale - Absolute Necessities 2
     A reaction: This would mean that p could be logically necessary but false (if it was a valid argument from false premisses). What if it was a valid inference in a dodgy logical system (including 'tonk', for example)?
In the McFetridge view, logical necessity means a consequent must be true if the antecedent is [McFetridge, by Hale]
     Full Idea: McFetridge's view proves that if the conditional corresponding to a valid inference is logically necessary, then there is no sense in which it is possible that its antecedent be true but its consequent false. ..This result generalises to any statement.
     From: report of Ian McFetridge (Logical Necessity: Some Issues [1986]) by Bob Hale - Absolute Necessities 2
     A reaction: I am becoming puzzled by Hale's assertion that logical necessity is 'absolute', while resting his case on a conditional. Are we interested in the necessity of the inference, or the necessity of the consequent?
Logical necessity requires that a valid argument be necessary [McFetridge]
     Full Idea: There will be a legitimate notion of 'logical' necessity only if there is a notion of necessity which attaches to the claim, concerning a deductively valid argument, that if the premisses are true then so is the conclusion.
     From: Ian McFetridge (Logical Necessity: Some Issues [1986], §1)
     A reaction: He quotes Aristotle's Idea 11148 in support. Is this resting a stronger idea on a weaker one? Or is it the wrong way round? We endorse validity because we see the necessity; we don't endorse necessity because we see 'validity'.
Traditionally, logical necessity is the strongest, and entails any other necessities [McFetridge]
     Full Idea: The traditional crucial assumption is that logical necessity is the strongest notion of necessity. If it is logically necessary that p, then it is necessary that p in any other use of the notion of necessity there may be (physically, practically etc.).
     From: Ian McFetridge (Logical Necessity: Some Issues [1986], §1)
     A reaction: Sounds right. We might say it is physically necessary simply because it is logically necessary, and even that it is metaphysically necessary because it is logically necessary (required by logic). Logical possibility is hence the weakest kind?
It is only logical necessity if there is absolutely no sense in which it could be false [McFetridge]
     Full Idea: Is there any sense in which, despite an ascription of necessity to p, it is held that not-p is possible? If there is, then the original claim then it was necessary is not a claim of 'logical' necessity (which is the strongest necessity).
     From: Ian McFetridge (Logical Necessity: Some Issues [1986], §1)
     A reaction: See Idea 12181, which leads up to this proposed "test" for logical necessity. McFetridge has already put epistemic ('for all I know') possibility to one side. □p→¬◊¬p is the standard reading of necessity. His word 'sense' bears the burden.
The mark of logical necessity is deduction from any suppositions whatever [McFetridge]
     Full Idea: The manifestation of the belief that a mode of inference is logically necessarily truth-preserving is the preparedness to employ that mode of inference in reasoning from any set of suppositions whatsoever.
     From: Ian McFetridge (Logical Necessity: Some Issues [1986], §4)
     A reaction: He rests this on the idea of 'cotenability' of the two sides of a counterfactual (in Mill, Goodman and Lewis). There seems, at first blush, to be a problem of the relevance of the presuppositions.
10. Modality / B. Possibility / 2. Epistemic possibility
We assert epistemic possibility without commitment to logical possibility [McFetridge]
     Full Idea: Time- and person-relative epistemic possibility can be asserted even when logical possibility cannot, such as undecided mathematical propositions. 'It may be that p' just comes to 'For all I know, not-p'.
     From: Ian McFetridge (Logical Necessity: Some Issues [1986], §1)
     A reaction: If it is possible 'for all I know', then it could be actual for all I know, and if we accept that it might be actual, we could hardly deny that it is logically possible. Logical and epistemic possibilities of mathematical p stand or fall together.
10. Modality / C. Sources of Modality / 1. Sources of Necessity
Objectual modal realists believe in possible worlds; non-objectual ones rest it on the actual world [McFetridge]
     Full Idea: The 'objectual modal realist' holds that what makes modal beliefs true are certain modal objects, typically 'possible worlds'. ..The 'non-objectual modal realist' says modal judgements are made true by how things stand with respect to this world.
     From: Ian McFetridge (Logical Necessity: Some Issues [1986], §2)
     A reaction: I am an enthusiastic 'non-objectual modal realist'. I accept the argument that real possible worlds have no relevance to the actual world, and explain nothing (see Jubien). The possibilities reside in the 'powers' of this world. See Molnar on powers.
10. Modality / C. Sources of Modality / 5. Modality from Actuality
Modal realists hold that necessities and possibilities are part of the totality of facts [McFetridge]
     Full Idea: The 'modal realist' holds that part of the totality of what is the case, the totality of facts, are such things as that certain events could have happened, certain propositions are necessarily true, if this happened then that would have been the case.
     From: Ian McFetridge (Logical Necessity: Some Issues [1986], §2)
     A reaction: I am an enthusiastic modal realist. If the aim of philosophy is 'to understand' (and I take that to be the master idea of the subject) then no understanding is possible which excludes the possibilities and necessities in things.
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
The feeling of belief shows a habit which will determine our actions [Peirce]
     Full Idea: The feeling of believing is a more or less sure indication of there being established in our nature some habit which will determine our actions. Doubt never has such an effect.
     From: Charles Sanders Peirce (The Fixation of Belief [1877], p.10)
     A reaction: It is one thing to assert this fairly accurate observation, and another to assert that this is the essence or definition of a belief. Perhaps it is the purpose of belief, without being the phenomenological essence of it. We act in states of uncertainty.
We are entirely satisfied with a firm belief, even if it is false [Peirce]
     Full Idea: As soon as a firm belief is reached we are entirely satisfied, whether the belief be true or false.
     From: Charles Sanders Peirce (The Fixation of Belief [1877], p.10)
     A reaction: This does not deny that the truth or falsehood of a belief is independent of whether we are satisfied with it. It is making a fair point, though, about why we believe things, and it can't be because of truth, because we don't know how to ensure that.
We want true beliefs, but obviously we think our beliefs are true [Peirce]
     Full Idea: We seek for a belief that we shall think to be true; but we think each one of our beliefs to be true, and, indeed, it is mere tautology to say so.
     From: Charles Sanders Peirce (The Fixation of Belief [1877], p.11)
     A reaction: If, as I do, you like to define belief as 'commitment to truth', Peirce makes a rather startling observation. You are rendered unable to ask whether your beliefs are true, because you have defined them as true. Nice point…
A mere question does not stimulate a struggle for belief; there must be a real doubt [Peirce]
     Full Idea: The mere putting of a proposition into the interrogative form does not stimulate the mind to any struggle after belief; there must be a real and living doubt.
     From: Charles Sanders Peirce (The Fixation of Belief [1877], p.11)
     A reaction: This the attractive aspect of Peirce's pragmatism, that he is always focusing on real life rather than abstract theory or pure logic.
12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
'A priori' does not concern how you learn a proposition, but how you show whether it is true or false [Baggini /Fosl]
     Full Idea: What makes something a priori is not the means by which it came to be known, but the means by which it can be shown to be true or false.
     From: J Baggini / PS Fosl (The Philosopher's Toolkit [2003], §4.01)
     A reaction: Helpful. Kripke in particular has labelled the notion as an epistemological one, but that does imply a method of acquiring it. Clearly I can learn an a priori truth by reading it the newspaper.
13. Knowledge Criteria / B. Internal Justification / 2. Pragmatic justification
We need our beliefs to be determined by some external inhuman permanency [Peirce]
     Full Idea: It is necessary that a method should be found by which our beliefs be determined by nothing human, but by some external permanency - by something upon which our thinking has no effect.
     From: Charles Sanders Peirce (The Fixation of Belief [1877]), quoted by Robert Fogelin - Walking the Tightrope of Reason Ch.5
     A reaction: This very sensible and interesting remark hovers somewhere between empiricism and pragmatism. Fogelin very persuasively builds his account of knowledge on it. The key point is that we hardly ever choose what to believe. See Idea 2454.
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / b. Basic beliefs
Demonstration does not rest on first principles of reason or sensation, but on freedom from actual doubt [Peirce]
     Full Idea: It is a common idea that demonstration must rest on indubitable propositions, either first principles of a general nature, or first sensations; but actual demonstration is completely satisfactory if it starts from propositions free from all actual doubt.
     From: Charles Sanders Peirce (The Fixation of Belief [1877], p.11)
     A reaction: Another nice example of Peirce focusing on the practical business of thinking, rather than abstract theory. I agree with this approach, that explanation and proof do not aim at perfection and indubitability, but at what satisfies a critical mind.
Basic beliefs are self-evident, or sensual, or intuitive, or revealed, or guaranteed [Baggini /Fosl]
     Full Idea: Sentence are held to be basic because they are self-evident or 'cataleptic' (Stoics), or rooted in sense data (positivists), or grasped by intuition (Platonists), or revealed by God, or grasped by faculties certified by God (Descartes).
     From: J Baggini / PS Fosl (The Philosopher's Toolkit [2003], §1.01)
     A reaction: These are a bit blurred. Isn't intuition self-evident? Isn't divine guarantee a type of revelation? How about reason, experience or authority?
13. Knowledge Criteria / C. External Justification / 1. External Justification
Doubts should be satisfied by some external permanency upon which thinking has no effect [Peirce]
     Full Idea: To satisfy our doubts it is necessary that a method should be found by which our beliefs may be determined by nothing human, but by some external permanency - by something upon which our thinking has no effect.
     From: Charles Sanders Peirce (The Fixation of Belief [1877], p.18)
     A reaction: This may be the single most important idea in pragmatism and in the philosophy of science. See Fodor on experiments (Idea 2455). Put the question to nature. The essential aim is to be passive in our beliefs - just let reality form them.
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
Once doubt ceases, there is no point in continuing to argue [Peirce]
     Full Idea: Some people seem to love to argue a point after all the world is fully convinced of it. But no further advance can be made. When doubt ceases, mental action on the subject comes to an end; and, if it did go on, it would be without purpose.
     From: Charles Sanders Peirce (The Fixation of Belief [1877], p.11)
     A reaction: This is the way Peirce's pragmatism, which deals with how real thinking actually works (rather than abstract logic), deals with scepticism. However, there is a borderline where almost everyone is satisfied, but the very wise person remains sceptical.
14. Science / A. Basis of Science / 6. Falsification
A proposition such as 'some swans are purple' cannot be falsified, only verified [Baggini /Fosl]
     Full Idea: The problem with falsification is that it fails to work with logically particular claims such as 'some swans are purple'. Examining a million swans and finding no purple ones does not falsify the claim, as there might still be a purple swan out there.
     From: J Baggini / PS Fosl (The Philosopher's Toolkit [2003], §3.29)
     A reaction: Isn't it beautiful how unease about a theory (Popper's) slowly crystallises into an incredibly simple and devastating point? Maybe 'some swans are purple' isn't science unless there is a good reason to propose it?
14. Science / C. Induction / 1. Induction
The problem of induction is how to justify our belief in the uniformity of nature [Baggini /Fosl]
     Full Idea: At its simplest, the problem of induction can be boiled down to the problem of justifying our belief in the uniformity of nature.
     From: J Baggini / PS Fosl (The Philosopher's Toolkit [2003], §1.03)
     A reaction: An easy solution to the problem of induction: we treat the uniformity of nature as axiomatic, and then induction is all reasoning which is based on that axiom. The axiom is a working hypothesis, which may begin to appear false. Anomalies are hard.
14. Science / C. Induction / 4. Reason in Induction
How can an argument be good induction, but poor deduction? [Baggini /Fosl]
     Full Idea: The problem of induction is the problem of how an argument can be good reasoning as induction but poor reasoning as deduction.
     From: J Baggini / PS Fosl (The Philosopher's Toolkit [2003], §1.03)
     A reaction: Nicely put, and a good defence of Hume against the charge that he has just muddled induction and deduction. All reasoning, we insist, should be consistent, or it isn't reasoning.
14. Science / D. Explanation / 3. Best Explanation / a. Best explanation
Abduction aims at simplicity, testability, coherence and comprehensiveness [Baggini /Fosl]
     Full Idea: There are some 'principles of selection' in abduction: 1) prefer simple explanations, 2) prefer coherent explanations (consistent with what is already held true), 3) prefer theories that make testable predictions, and 4) be comprehensive in scope.
     From: J Baggini / PS Fosl (The Philosopher's Toolkit [2003], §2.01)
     A reaction: Note that these are desirable, but not necessary (pace Ockham and Ayer). I cannot think of anything to add to the list, so I will adopt it. Abduction is the key to rationality.
To see if an explanation is the best, it is necessary to investigate the alternative explanations [Baggini /Fosl]
     Full Idea: The only way to be sure we have the best explanation is to investigate the alternatives and see if they are any better.
     From: J Baggini / PS Fosl (The Philosopher's Toolkit [2003], §3.01)
     A reaction: Unavoidable! Since I love 'best explanation', I now seem to be committed to investigation every mad theory that comes up, just in case it is better. I hope I am allowed to reject after a very quick sniff.
18. Thought / A. Modes of Thought / 5. Rationality / a. Rationality
Consistency is the cornerstone of rationality [Baggini /Fosl]
     Full Idea: Consistency is the cornerstone of rationality.
     From: J Baggini / PS Fosl (The Philosopher's Toolkit [2003], §1.06)
     A reaction: This is right, and is a cornerstone of Kant's approach to ethics. Rational beings must follow principles - in order to be consistent in their behaviour. 'Consistent' now requires a definition….
26. Natural Theory / B. Natural Kinds / 2. Defining Kinds
What is true of one piece of copper is true of another (unlike brass) [Peirce]
     Full Idea: The guiding principle is that what is true of one piece of copper is true of another; such a guiding principle with regard to copper would be much safer than with regard to many other substances - brass, for example.
     From: Charles Sanders Peirce (The Fixation of Belief [1877], p. 8)
     A reaction: Peirce is so beautifully simple and sensible. This gives the essential notion of a natural kind, and is a key notion in our whole understanding of physical reality.
27. Natural Reality / G. Biology / 3. Evolution
Natural selection might well fill an animal's mind with pleasing thoughts rather than true ones [Peirce]
     Full Idea: It is probably of more advantage to an animal to have his mind filled with pleasing and encouraging visions, independently of their truth; and thus, upon unpractical subjects, natural selection might occasion a fallacious tendency of thought.
     From: Charles Sanders Peirce (The Fixation of Belief [1877], p. 8)
     A reaction: Note that this is a pragmatist saying that a set of beliefs might work fine but be untrue. So Peirce does not have the highly relativistic notion of truth of some later pragmatists. Good for him. Note the early date to be thinking about Darwin.
28. God / B. Proving God / 2. Proofs of Reason / d. Pascal's Wager
If death is annihilation, belief in heaven is a cheap pleasure with no disappointment [Peirce]
     Full Idea: If death is annihilation, then the man who believes that he will certainly go straight to heaven when he dies, provided he have fulfilled certain simple observances in this life, has a cheap pleasure which will not be followed by the least disappointment.
     From: Charles Sanders Peirce (The Fixation of Belief [1877], p.12)
     A reaction: This is a nicely wicked summary of one side of Pascal's options. All the problems of the argument are built into Peirce's word "cheap". Peirce goes on to talk about ostriches burying their heads.