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tech / sci.logic / Re: Zeno's dichotomy paradox, supertasks and the failure of classical infinitary reasoning

SubjectAuthor
* Re: Zeno's dichotomy paradox, supertasks and the failure of classical infinitaryRoss Finlayson
`* Re: Zeno's dichotomy paradox, supertasks and the failure of classical infinitaryRoss Finlayson
 `- Re: Zeno's dichotomy paradox, supertasks and the failure of classical infinitaryRoss Finlayson

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Re: Zeno's dichotomy paradox, supertasks and the failure of classical infinitary reasoning

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Subject: Re: Zeno's dichotomy paradox, supertasks and the failure of classical
infinitary reasoning
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From: ross.a.finlayson@gmail.com (Ross Finlayson)
Date: Tue, 20 Feb 2024 21:58:12 -0800
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 by: Ross Finlayson - Wed, 21 Feb 2024 05:58 UTC

Zeno's about the most well-known of classical
expositions of the logic of resolving paradox.

Of the success of classical infinitary reasoning, ....

Re: Zeno's dichotomy paradox, supertasks and the failure of classical infinitary reasoning

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NNTP-Posting-Date: Wed, 21 Feb 2024 17:19:08 +0000
Subject: Re: Zeno's dichotomy paradox, supertasks and the failure of classical infinitary reasoning
Newsgroups: sci.logic
References: <77f462f2-7d76-45e2-bb15-5cdbae8217ad@googlegroups.com> <f74f3458-9924-cf61-82e7-4011955ee3c2@att.net> <791f8699-645d-4724-9dbd-e66cf7229ff6@googlegroups.com> <546bc709-218b-85fa-be8e-9353cfc74a5f@att.net> <abb07b70-311f-4a33-abac-f5ff0de63c6b@googlegroups.com> <b0b84a68-f88b-6d96-7242-91c86a04ec7d@att.net> <1994f1b1-0bbf-42da-94e9-9b0c6c21d91c@googlegroups.com> <4545de28-3908-4622-9a18-96559b392730@googlegroups.com> <lN2dnWkUU6V1DUj4nZ2dnZfqn_WdnZ2d@giganews.com>
From: ross.a.finlayson@gmail.com (Ross Finlayson)
Date: Wed, 21 Feb 2024 09:19:08 -0800
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 by: Ross Finlayson - Wed, 21 Feb 2024 17:19 UTC

Of course it's rather arrived at via deduction,
that the supertask and infinitary reasoning,
does result why it's concretely a thing,
and necessary to get into why there are
multiple models of continuous domains
together at all.

I.e., this is for "the success of infinitary
reasoning", continuum mechanics.

Re: Zeno's dichotomy paradox, supertasks and the failure of classical infinitary reasoning

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Subject: Re: Zeno's dichotomy paradox, supertasks and the failure of classical infinitary reasoning
Newsgroups: sci.logic
References: <77f462f2-7d76-45e2-bb15-5cdbae8217ad@googlegroups.com> <f74f3458-9924-cf61-82e7-4011955ee3c2@att.net> <791f8699-645d-4724-9dbd-e66cf7229ff6@googlegroups.com> <546bc709-218b-85fa-be8e-9353cfc74a5f@att.net> <abb07b70-311f-4a33-abac-f5ff0de63c6b@googlegroups.com> <b0b84a68-f88b-6d96-7242-91c86a04ec7d@att.net> <1994f1b1-0bbf-42da-94e9-9b0c6c21d91c@googlegroups.com> <4545de28-3908-4622-9a18-96559b392730@googlegroups.com> <lN2dnWkUU6V1DUj4nZ2dnZfqn_WdnZ2d@giganews.com> <e8icnW-qq7cRrUv4nZ2dnZfqnPednZ2d@giganews.com>
From: ross.a.finlayson@gmail.com (Ross Finlayson)
Date: Wed, 21 Feb 2024 15:57:45 -0800
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 by: Ross Finlayson - Wed, 21 Feb 2024 23:57 UTC

Modern infinitary reasoning has many approaches
to the infinite limit and the continuum limit,
and the idea of Jordan measure or Jordan content,
for the line integral, is very usual in physics.

Mathematics and logic then has needs for how this
model of the self-same things as line-elements of
a line-integral with real-analytical character,
and the geometric series, make for both that the
geometric series is really an "infinite" series,
and as well that iota-values also define a "modular".


tech / sci.logic / Re: Zeno's dichotomy paradox, supertasks and the failure of classical infinitary reasoning

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