Questions tagged [induction]

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Justification for the paradigm of abductive reasoning

In Chance , Love and Logic, Peirce defines reasoning into two categories: analytic and non-analytic. All forms of reasoning have three fundamental components: rule, case, result. Analytic reasoning ...
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How does abduction differ from inductive reasoning?

Consider this statement: Abductive reasoning typically begins with an incomplete set of observations and proceeds to the likeliest possible explanation for the set. But couldn't the same ...
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Can the word “probably” be used in a proposition? (logic)

I'm interested in applying logic to day-to-day reasoning. The problem is that formal logic seems really restrictive to limit inductive arguments to be only universal ("all swans are white"). Few ...
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Inductive reasoning and probability: probability of the conclusion versus probability of the supporting relation?

It is often admitted that inductive reasoning has something to do with probability. While in a ( valid) deduction the premises necessarily imply the conclusion, in an inductive reasoning the premises ...
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Hume on Induction vs Education

Hume thinks that mental ideas are built upon repeated observations and habituation, namely by induction. As far as I know, the principal alternative to this view is given by Descartes, postulating ...
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Is symbolic regression Popperian or inductivist?

This has been on my mind for a few days. I'd love a criticism of my arguments outlined here: https://groups.google.com/forum/#!topic/fallible-ideas/9bcC5WN6bLs. I'll re-issue them here: While ...
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What is the justification for the claim that observing something that is both a raven and black increases the likelihood that all ravens are black?

Suppose that I have access to a machine that allows me to input a positive integer (perhaps up to ten decimal digits) and the machine will -- depending only on the input -- output a statement. If the ...
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Problem of Induction: Dissolved

Whenever we make some claim about the world, the phenomena, whatever you want to call it, we necessarily draw from our immediate and past experience, i.e. we engage in any act of induction in the most ...
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Clarifications on 1) Modus Ponens, 2) Modus Tollens, 3) Inductive, 4) Incomplete based on examples

My second lecture on Hypothetico-Deductive methods (based on Popper's falsification theory). In the class, we were given the following examples. We had to classify which examples belong to 1) Modus ...
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Reasoning for Inductive inference?

Just out of curiosity, if I should replace the deductive inference related questions to inductive inference, then which are true? Inductive inferences rearrange current knowledge in such a way that ...
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Clarification regarding “Hume's argument against the justifiability of induction”

This is my quiz problem, in particular on "Hume's argument against the justifiability of induction". I was supposed to do True and False. That every inference is either inductive or deductive. That ...
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Confusion between deductive and inductive reasoning definitions

The following arguments is always given as a classic example to deductive reasoning: All men are mortal. (First premise) Socrates is a man. (Second premise) Therefore, Socrates is mortal. ...
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Contemporary problem of induction

What is the contemporary opinion on the problem of induction? It seems that no justification can be given, according to the SEP and an Oxford lecturer. It seems that the SEP does not provide any ...
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Is argument from need a valid type of reasoning, even in some cases?

To begin with, I know that if I need X , does not necessarily mean that X exists. But in some cases, it seems very convincing that if I need X then X exists. These are some examples : If I am ...
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Recursive definitions. Am I sane?

"The difference between me and a madman is the madman thinks that he is sane. I know that I am mad." ~ Salvador Dalí There are many terms defined in a recursive manner, e.g.: A person A is sane if ...
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Should we accept non-predictive inductive arguments based on cultural judgments?

Some inductive arguments that are taken seriously are based on observations about society/culture that cannot be objectively confirmed and do not produce any predictions. Does that make them less ...
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Why is argument by analogy invalid?

There is a well known fallacy called the "argument by analogy" fallacy. As I understand it, the fallacy occurs in a situation where someone makes a reasonable comparison between two situations and ...
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New riddle of induction; does the observer know the arbitrary time t?

Wikipedia, in "New riddle of induction", sets out Nelson Goodman's paradox as follows: Goodman defined grue relative to an arbitrary but fixed time t as follows: An object is grue if and only if ...
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Has the Problem of Induction been solved?

The problem as to acquiring knowledge about times where we cannot experiment/observe. For e.g, you haven't seen the future, so you cannot make any definitive statements, or rather, scientifically ...
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What fallacy is assuming something is the case because of past events

I'm sure this is a simple question. What I am referring to is disbelieving someone on Day 20 because they have lied every day previous to Day 20. Another example is the boy who cried wolf. The 50th ...
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Is deduction based on induction?

I'm wondering if deduction is in the end based on induction. The problem of induction discovered by the Scottish philosopher David Hume is quite well known. On the other hand, it's commonly supported ...
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Do Hume’s Problem and Zeno’s Arrow Paradox have the same solution?

Both Hume’s Problem and Zeno’s Arrow Paradox freeze an observation in time. Do they have the same solution? To show that the future may not be predicted from the past, the test that David Hume ...
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Can all inductive arguments be written as deductive arguments?

Whenever I see inductive arguments being used, it seems as though they can be redone by simply making certain assumptions and rephrasing the argument as a deduction from those assumptions. For ...
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Can the conclusion of an inductive argument be that there is only one exception to the list of evidentiary claims?

Can this be an example of an inductive argument? Premise 1: Country A rejected idea Z. Premise 2: Country B rejected idea Z. Premise 3: Country C rejected idea Z. Premise 4: Country D rejected ...
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If nature is inherently imprecise, how is it so easy for us to conceptualize mathematical certainties?

In modeling any real physical system, we are required to employ inductive reasoning. We can never be completely certain about the state or properties of any system or of any future observation we will ...
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How do I operate with philosophers if I reject deductive reasoning?

Deductive reasoning is the one that takes premises for granted. I never do it. Therefore I never do deductive reasoning. Well, enough jokes. It is safe to assume that deductive reasoning never should ...
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Is actual infinity physical infinity? Or just the axiom of infinity?

I've always been a little confused on this point. My (second-hand) understanding of Aristotle's difference between potential and actual infinity is this: We all have an intuition of the counting ...
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Why do we need a reason for believing that inductive method is necessarily true?

I've been a bit perplexed about the "problem" of induction. Hume challenges other philosophers to come up with a deductive reason for the inductive connection. If the justification of induction ...
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Inductive and deductive arguments and mathematical induction

I started reading Paul Teller's A Modern Formal Logic Primer. In the first chapter, the book presents the inductive and deductive arguments with the following examples: The inductive argument: ...
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What did Wittgenstein mean by saying that the belief in the causal nexus is a superstition?

In the Tractatus Logico-Philosophicus, Wittenstein says: 5.1361 The events of the future cannot be inferred from those of the present. Superstition is the belief in the causal nexus. I'm ...
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Can inductive arguments be made in first order logic and, if not, why not?

After reading a question by rus9384 Why is faulty generalization called an informal fallacy? I wondered whether induction can be part of any argument in first order logic (FOL). rus9384 symbolized ...
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Propositional Logic: How to prove the contraposition in the Fitch system?

Given that: p ⇒ q prove that: ¬q ⇒ ¬p using the Fitch system. (This being the proof of the Contraposition)
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How did Aristotle define induction so incorrectly?

From: Philip Johnson-Laird BA PhD Psychology (UCL), Stuart Professor of Psychology Emeritus at Princeton. (Author isn't a logician.) How We Reason (1st edn 2008). p. 431, for Ch. 1. The ...
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What's wrong with the following argument regarding temporal limits?

Let us suppose there is a limit: you cannot buy something after 10:00PM. From the position of law, of course "cannot" must be taken directly. But from the position of common thinking, people are less ...
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How does induction relate to falsifiability?

I was thinking about the question How can I know that I am not immortal? and started wondering about the relation between induction and falsifiability. Regarding the cited question, one thinks: well, ...
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Questioning determinism (example)

Questioning the world's deterministic behaviour, I shall present an example which seems to defy any certainty about the recurrence of events and is (obviously) a result of faulty logic, but I would ...
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How does a Bayesian respond to the Grue-hypothesis?

According to Bayesian inference/confirmation theory, your confidence in a hypothesis increases as you observe more and more evidence predicted by that hypothesis (according to bayes theorem and the ...
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Swinburne's solution to Grue

In the new riddle of induction, Swinburne proposes the idea that there is a genuine distinction to be made between the predicate 'green' and the predicate 'grue' in that 'green' is a qualitative ...
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On the circularity of induction

Hume's problem of induction is that any attempt to justify induction would lead to a circular argument. Can someone give an example to illustrate this and maybe explain the problem more?
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Hume's problem of induction

Hume argued that assuming A causes B isn't the same as arriving at a truth of logic. However, even though Hume cautioned the "the mental habit" of induction should be used carefully he still believed ...
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How applicable is the problem with induction to real life?

I am an engineer and know nothing about philosophy, my friend is an economist who argues that the problem with induction invalidates all predictions based on induction. I can understand this on a ...
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Help me understand Earman and Salmon's pragmatic vindication

"Hume showed convincingly that, if nature is uniform, inductive reasoning will work very well, whereas, if nature is not uniform, inductive reasoning will fail. This much is pretty easy to see. [Some ...
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How does Hume justify his account of the origin of causation to a general sense?

Hume's account of causation explains why we think specific things have causes and explains them in terms of their constant connection in our minds such that we associate them by "habit". Hume brings ...
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Does Popper's falsification view of the problem of induction have any implications for the NEW riddle of induction?

Popper claims to solve Hume's problem of induction by explaining that science does not use induction at all, but rather science can be described by the process of putting forward hypotheses and then ...
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Does Hume's skepticism about induction extend to his treatise?

Can we extend Hume's skeptical conclusions to the treatise itself? How far reaching is Hume's skepticism, and if it is all-encompassing, then what is (as he sees) the purpose of his work?
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Is there a deduction analog to the problem of induction?

Aren't deductive and inductive reasoning equally unjustified? So, inductive reasoning is going from specifics to general, whilst deductive reasoning is going from general to specific. But in deductive ...
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Is Goodman's new riddle of induction a restatement of Hume's problem of induction?

I was reading Goodman's [Facts, fictions and forecasts] and was confused by the new riddle of induction. I don't really see what's new about it, it seems to me like a restatement of Hume's problem ...
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What is an appropriate way to solve a Mill's method table, if it exists?

I'm being asked to determine the cause of a phenomenon using Mill's methods and a table of relevant factors. Below is the table: A B C D E Event * * * * * ...