Difference between revisions of "Directory:Jon Awbrey/EPITEXT"
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{{DISPLAYTITLE:Epitext for Differential Logic and Dynamic Systems}} | {{DISPLAYTITLE:Epitext for Differential Logic and Dynamic Systems}} | ||
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+ | __TOC__ | ||
<blockquote> | <blockquote> | ||
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<p>''I Ching'', Hexagram 64, [Wil, 249]</p> | <p>''I Ching'', Hexagram 64, [Wil, 249]</p> | ||
+ | </blockquote> | ||
+ | |||
+ | ===Differential Propositions : The Qualitative Analogues of Differential Equations=== | ||
+ | |||
+ | ===An Interlude on the Path=== | ||
+ | |||
+ | <blockquote> | ||
+ | <p>There would have been no beginnings:<br> | ||
+ | instead, speech would proceed from me,<br> | ||
+ | while I stood in its path - a slender gap -<br> | ||
+ | the point of its possible disappearance.</p> | ||
+ | |||
+ | <p>Michel Foucault, ''The Discourse on Language'', [Fou, 215]</p> | ||
+ | </blockquote> | ||
+ | |||
+ | ===The Extended Universe of Discourse=== | ||
+ | |||
+ | <blockquote> | ||
+ | <p>At the moment of speaking, I would like to have perceived a nameless voice, long preceding me, leaving me merely to enmesh myself in it, taking up its cadence, and to lodge myself, when no one was looking, in its interstices as if it had paused an instant, in suspense, to beckon to me.</p> | ||
+ | |||
+ | <p>Michel Foucault, ''The Discourse on Language'', [Fou, 215]</p> | ||
+ | </blockquote> | ||
+ | |||
+ | ===Intentional Propositions=== | ||
+ | |||
+ | <blockquote> | ||
+ | <p>Do you guess I have some intricate purpose?<br> | ||
+ | Well I have . . . . for the April rain has, and the mica on<br> | ||
+ | the side of a rock has.</p> | ||
+ | |||
+ | <p>Walt Whitman, ''Leaves of Grass'', [Whi, 45]</p> | ||
+ | </blockquote> | ||
+ | |||
+ | ===Life on Easy Street=== | ||
+ | |||
+ | <blockquote> | ||
+ | <p>Failing to fetch me at first keep encouraged,<br> | ||
+ | Missing me one place search another,<br> | ||
+ | I stop some where waiting for you</p> | ||
+ | |||
+ | <p>Walt Whitman, ''Leaves of Grass'', [Whi, 88]</p> | ||
</blockquote> | </blockquote> |
Revision as of 19:48, 30 June 2008
Stand and unfold yourself.
Hamlet, 1.1.2
Review and Transition
A Functional Conception of Propositional Calculus
Out of the dimness opposite equals advance . . . . |
— Walt Whitman, Leaves of Grass, [Whi, 28] |
Qualitative Logic and Quantitative Analogy
Logical, however, is used in a third sense, which is at once more vital and more practical; to denote, namely, the systematic care, negative and positive, taken to safeguard reflection so that it may yield the best results under the given conditions.
John Dewey, How We Think, [Dew, 56]
Philosophy of Notation : Formal Terms and Flexible Types
Where number is irrelevant, regimented mathematical technique has hitherto tended to be lacking. Thus it is that the progress of natural science has depended so largely upon the discernment of measurable quantity of one sort or another.
W.V. Quine, Mathematical Logic, [Qui, 7]
Special Classes of Propositions
Basis Relativity and Type Ambiguity
The Analogy Between Real and Boolean Types
Measurement consists in correlating our subject matter with the series of real numbers; and such correlations are desirable because, once they are set up, all the well-worked theory of numerical mathematics lies ready at hand as a tool for our further reasoning.
W.V. Quine, Mathematical Logic, [Qui, 7]
Theory of Control and Control of Theory
You will hardly know who I am or what I mean,
But I shall be good health to you nevertheless,
And filter and fibre your blood.Walt Whitman, Leaves of Grass, [Whi, 88]
Propositions as Types and Higher Order Types
Reality at the Threshold of Logic
But no science can rest entirely on measurement, and many scientific investigations are quite out of reach of that device. To the scientist longing for non-quantitative techniques, then, mathematical logic brings hope.
W.V. Quine, Mathematical Logic, [Qui, 7]
Tables of Propositional Forms
To the scientist longing for non-quantitative techniques, then, mathematical logic brings hope. It provides explicit techniques for manipulating the most basic ingredients of discourse.
W.V. Quine, Mathematical Logic, [Qui, 7-8]
A Differential Extension of Propositional Calculus
Fire over water:
The image of the condition before transition.
Thus the superior man is careful
In the differentiation of things,
So that each finds its place.I Ching, Hexagram 64, [Wil, 249]
Differential Propositions : The Qualitative Analogues of Differential Equations
An Interlude on the Path
There would have been no beginnings:
instead, speech would proceed from me,
while I stood in its path - a slender gap -
the point of its possible disappearance.Michel Foucault, The Discourse on Language, [Fou, 215]
The Extended Universe of Discourse
At the moment of speaking, I would like to have perceived a nameless voice, long preceding me, leaving me merely to enmesh myself in it, taking up its cadence, and to lodge myself, when no one was looking, in its interstices as if it had paused an instant, in suspense, to beckon to me.
Michel Foucault, The Discourse on Language, [Fou, 215]
Intentional Propositions
Do you guess I have some intricate purpose?
Well I have . . . . for the April rain has, and the mica on
the side of a rock has.Walt Whitman, Leaves of Grass, [Whi, 45]
Life on Easy Street
Failing to fetch me at first keep encouraged,
Missing me one place search another,
I stop some where waiting for youWalt Whitman, Leaves of Grass, [Whi, 88]