Helmut, on this point you seem to disagree with Peirce about logical relations.
Peirce in 1880 (W4:170) identified illation as the basic or ‘primitive’ logical
relation, and in his 1906 ‘PAP’ (MS 293) he identified it with ‘the form of the
relation of two instants of time, or what is the same thing as the relation
between a logical antecedent and consequent.’
Gary f.
From: peirce-l-requ...@list.iupui.edu <peirce-l-requ...@list.iupui.edu> On
Behalf Of Helmut Raulien
Sent: 22-May-21 18:13
Supplement: The logical connection between premiss and rule cannot be
symbolized with logical notation including EGs. It is a temporal connection, a
relation between past and present. Logic notation merely notes the status of
the present. Implication implies this temporal relation, and "not (A and not
B)" doesn´t. So both are different, but this difference doesn´t show in logical
notation.
Jon, Jon, List
Wikipedia says there are two kinds of "ex falso quod libet": First the
contradiction "A and not A", and secondly the counterfactual material
implication "If A then B" with A being false. From "every unicorn is pink"
follows, that this is true, and anything else also is. These two kinds of
quodlibet seem different, but I think they can be connected, by which a
hypothesis about implication in general occurs:
Maybe "If A then B" is not only a rule, but also a case, meaning, it includes a
premiss: A exists. So "If A then B" does not mean "A exists and if A then B",
but it means "If A then B, on the premiss that A is true". Now, if A is false,
unicorns donot exist, this falsity also is part of the premiss. The case-part
of implication, that part that is not part of the rule, now has a
backwards-effect on the premiss. The complete premiss now is: "A exists, and A
does not exist", or "A is both true and false". This is the contradictional "ex
falso quodlibet", which makes the rule-part´s, the implication´s result true,
like anything else as well.
I think, this quibbly argument has the benefit, that one can understand the
counterfactual-material-implication-qoudlibet ("Every unicorn is pink" being
true), which intuitively is not as easy to understand as the
contradiction-quodlibet ("if one nonsense is true, all sense is lost anyway,
then say what you want, all is true.": Easy to understand.).
The hypothesis about implication is, that though it is only one term, it adds
something to the premiss of itself. Maybe that is what distinguishes "if A then
B" from "not (A and not B)".
Best
Helmut
20. Mai 2021 um 01:39 Uhr
"Jon Alan Schmidt" <jonalanschm...@gmail.com <mailto:jonalanschm...@gmail.com>
>
wrote:
Jon A., List:
Technically, yes, at least in classical logic. Nevertheless, according to
Peirce, "it can no longer be granted that every conditional proposition whose
antecedent does not happen to be realized is true" (CP 4.580, 1906).
Regards,
Jon Alan Schmidt - Olathe, Kansas, USA
Structural Engineer, Synechist Philosopher, Lutheran Christian
www.LinkedIn.com/in/JonAlanSchmidt <http://www.LinkedIn.com/in/JonAlanSchmidt>
- twitter.com/JonAlanSchmidt <http://twitter.com/JonAlanSchmidt>
On Wed, May 19, 2021 at 6:13 PM Jon Awbrey <jawb...@att.net
<mailto:jawb...@att.net> > wrote:
FYI —
“Every unicorn 🦄 is pink” is true.
Jon
http://inquiryintoinquiry.com
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