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Objects, Models, Theories : 1
Happy Birthday, Charles Sanders Peirce❢ — September 10, 1839 Re: Three Types of Mathematical Models Comment 1 In talking of models we often find denizens of different disciplines talking at cross...
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Objects, Models, Theories : 2
Re: The Graph Of Math Re: Three Types Of Mathematical Models What — if anything — is the common sense that connects the different senses of the word model, as it has been used over the years in logic,...
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Objects, Models, Theories : 3
Re: Tom Gollier Tom, Here my task is to build bridges between several different classical and contemporary uses of the word “model”, so I don’t have the luxury of complete control over the words in...
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Objects, Models, Theories : 4
I need to stay with this problem a while … What are objects, models, theories, and how do they relate to one another? In contemplating this problem I always find it helpful to ruminate on the diagram...
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Forgetfulness Of Purpose • 1
Naturally I had purposes and reflected on my purposes for as long as I can remember but I don’t think I thought about the concept of purpose in a systematic way until I began taking courses on...
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Forgetfulness Of Purpose • 2
I had planned to get down to brass tacks as quickly as possible, with an object example from Ashby’s Cybernetics that made an impression on me at an early stage in my thinking about intelligent...
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Forgetfulness Of Purpose • 3
Here is the first part of Ashby’s setup for the schematic example I had in mind. Requisite Variety 11/1. In the previous chapter we considered regulation from the biological point of view, taking it...
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Forgetfulness Of Purpose • 4
Ashby now invites us to consider a series of games, beginning as follows. 11/3. Play and outcome. Let us therefore forget all about regulation and simply suppose that we are watching two players, R...
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Forgetfulness Of Purpose • 5
Recall the game between R and D determined by the following data. Here is Ashby’s analysis of how it plays out. Examination of the table soon shows that with this particular table R can win always....
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Forgetfulness Of Purpose • 6
Just enough time for an incidental observation. Consider the table Ashby uses to describe his first example of a regulation game. A table like that is a compact way of describing a triadic relation, in...
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Forgetfulness Of Purpose • 7
Re: Peirce List Discussion • Sungchul Ji I invited readers to consider Ashby’s example of a regulation game as a triadic relation whose triples are given by either one of the following tables. Sungchul...
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Forgetfulness Of Purpose • 8
Re: Peirce List Discussion • (1) • (2) Just to review, we were looking at Ashby’s example of a regulation game as given below. I observed that this gives us a triadic relation whose triples are listed...
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What Makes An Object? • 1
Re: Gary Fuhrman • Seeing Things What makes an object is a perennial question. I can remember my physics professors bringing it up in a really big way when I was still just a freshman in college. They...
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What Makes An Object? • 2
Re: Peirce List Discussison • (1) • (2) Visual metaphors and perceptual analogies can be instructive — they make for most of my personal favorites — but in logic, mathematics, and science our interest...
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Pragmatic Cosmos • 1
Re: Michael Harris • Not About Fibonacci I have often reflected on the interminglings of the main three normative sciences. In one of my earliest meditations I saw Beauty, Goodness, and Truth as the...
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The object of reasoning is to find out …
No longer wondered what I would do in life but defined my object. — C.S. Peirce (1861), “My Life, written for the Class-Book”, (CE 1, 3) The object of reasoning is to find out, from the consideration...
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Triadic Forms of Constraint, Determination, Interaction • 1
Re: Peirce List Discussion • JA • GR • JA • JBD There are many places where Peirce uses the word object in the full pragmatic sense, so much so that it demands a very selective attention not to remark...
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Triadic Forms of Constraint, Determination, Interaction • 2
Re: Peirce List Discussion • Gary Richmond Here’s one way of stating what I call a constraint: The set is constrained to a subset of the set Here’s one way of stating a triadic constraint: The set is a...
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Triadic Forms of Constraint, Determination, Interaction • 3
In the beginning was the three-pointed star, One smile of light across the empty face; One bough of bone across the rooting air, The substance forked that marrowed the first sun; And, burning ciphers...
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Re: Facebook Discussion • Oguzhan Kosar The questions raised under the heading of “Foundations of Mathematics” are generally considered to fall under the “Philosophy of Mathematics”, in particular,...
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