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Talk:Inference

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[edit] RevertiBold text proposal

Personally, I don't agree with the broad deleting recentely made upon this article. Maybe it wasn't perfect, but it explained a lot more things than it does now, it was more complete and I can't see any improvement in this new version. If nobody has some reason against it I would revert to the previous version. Chiara 08:35, 23 February 2007 (UTC)

[edit] Symbols are not readeable

The universal quantifier symbol and the therefore symbol are not readeable. They are presented as a ∀ character... —The preceding unsigned comment was added by 217.123.174.199 (talk) 12:44, 15 April 2007 (UTC).

as they should be nowadays.

[edit] TeX'ization of formulae

All men are mortal
Socrates is a man
------------------
Therefore Socrates is mortal.

\frac {All\ men\ are\ mortal\quad Socrates\ is\ a\ man}{Therefore\ Socrates\ is\ mortal.}


All A is B
All C is A
----------
All C is B

\frac {All\ A\ is\ B\quad All\ C\ is\ A}{All\ C\ is\ B}


∀ X, man(X) → mortal(X)
man(Socrates)
-------------------------------
∴mortal(Socrates)

\frac {\forall X,\;man(X) \rightarrow mortal(X)}{\therefore man(Socrates)}


Or in its general form:

∀ X, A(X) → B(X)
A(x)
------------------------
∴B(x)

\frac {\forall X,\;A(X) \rightarrow B(x) \quad A(x)}{\therefore B(x)}


∀, the universal quantifier, is pronounced "for all". It allows us to state a general property. Here it is used to say that "if any X is a man, X is also mortal".

∴ is the therefore symbol which denotes the conclusion.

Consider the following:

All fat people are musicians
John Lennon was fat
-------------------
Therefore John Lennon was a musician

\frac {All\ fat\ people\ are\ musicians\quad John\ Lennon\ was\ fat}{Therefore\ John\ Lennon\ was\ a\ musician}

I much prefer the boxed versions. Rick Norwood (talk) 00:32, 30 May 2008 (UTC)

[edit] Deduction

This article has a lot on the subject of Deduction and very little on any of the other forms of inference. I propose moving a lot of the material on deduction to the article of that title, and expanding the material on other forms of inference. I'll begin this on May 30, 2008 if I hear no objection before then. Rick Norwood (talk) 00:35, 30 May 2008 (UTC)

What are the other form of inference you have in mind? --Philogo 01:13, 30 May 2008 (UTC)

See the introductory paragraph to the article. Rick Norwood (talk) 12:28, 30 May 2008 (UTC)

[edit] Error

"But false premises may, by accident, lead to a true conclusion."

Is this a reference to logical accident or simply a very poor choice of words? It seems to me this connection is not there. In this sentence "by chance" would be more appropriate! --84.250.188.136 (talk) 09:14, 18 June 2008 (UTC)

Perhaps the editor meeant to say not "But false premises may, by accident, lead to a true conclusion" but rather "It is possible to have a valid argument with false premises and a true conclusion, eg All Men are machines, all mechimes are mortal therefore all men are mortal.

The example given is strange too, unless John Lennon actually was a fish. --Philogo 11:46, 18 June 2008 (UTC)

No, logical accident is something else entirely. I agree, however, that "by chance" is better than "by accident". Piilogo's formulation and example are also good. Rick Norwood (talk) 14:21, 18 June 2008 (UTC)


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