Interpreter and Interpretant • Selection 10
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https://inquiryintoinquiry.com/2025/02/11/interpreter-and-interpretant-sele…
Transfer —
Returning to the scene of Dewey's “Sign of Rain” example, let's continue
examining how the transfer of knowledge through the analogy of experience
works in that case.
By way of a recap, we began by considering a fragment K_pres of
the reasoner's knowledge base which is logically equivalent to
a conjunction of two rules.
• K_pres ⇔ (B ⇒ A) ∧ (B ⇒ D).
K_pres may be thought of as a piece of knowledge or item of information
allowing for the possibility of certain conditions, expressed in the form
of a logical constraint on the present universe of discourse.
Next we found it convenient to express all logical statements in terms of
their models, that is, in terms of the primitive circumstances or elements
of experience over which they hold true.
• Let E_past be the chosen set of experiences, or the circumstances in mind
under “past experience”.
• Let E_poss be the collective set of experiences, or the prospective total
of possible circumstances.
• Let E_pres be the current experience, or the circumstances immediately
present to the reasoner.
If we think of the knowledge base K_pres as referring to the “regime of experience”
over which it is valid, then the sets of models involved in the analogy may be ordered
according to the relationships of set inclusion or logical implication existing among
them.
Figure 4 shows the subsumption relations involved in the analogy of experience.
Figure 4. Analogy of Experience
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https://inquiryintoinquiry.files.wordpress.com/2025/02/analogy-of-experienc…
In logical terms, the analogy of experience proceeds by inducing a Rule about the
validity of a current knowledge base and then by deducing a Fact, the applicability
of that knowledge base to a current experience.
Step 1 is Inductive, abstracting a Rule from a Case and a Fact.
• Case : E_past ⇒ E_poss, Chosen events fairly sample Collective events.
• Fact : E_past ⇒ K_pres, Chosen events support the Knowledge regime.
──────────────────────────────────────────────────────────────────────────
• Rule : E_poss ⇒ K_pres, Collective events support the Knowledge regime.
Step 2 is Deductive, admitting a Case to a Rule and arriving at a Fact.
• Case : E_pres ⇒ E_poss, Current events fairly sample Collective events.
• Rule : E_poss ⇒ K_pres, Collective events support the Knowledge regime.
──────────────────────────────────────────────────────────────────────────
• Fact : E_pres ⇒ K_pres, Current events support the Knowledge regime.
References —
Awbrey, J.L., and Awbrey, S.M. (1995), “Interpretation as Action : The Risk
of Inquiry”, Inquiry : Critical Thinking Across the Disciplines 15(1), 40–52.
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https://www.pdcnet.org/inquiryct/content/inquiryct_1995_0015_0001_0040_0052
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https://www.academia.edu/57812482/Interpretation_as_Action_The_Risk_of_Inqu…
Dewey, J. (1910), How We Think, D.C. Heath, Boston, MA.
Reprinted (1991), Prometheus Books, Buffalo, NY.
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https://www.gutenberg.org/files/37423/37423-h/37423-h.htm
Resources —
Survey of Abduction, Deduction, Induction, Analogy, Inquiry
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https://inquiryintoinquiry.com/2024/02/27/survey-of-abduction-deduction-ind…
Survey of Semiotics, Semiosis, Sign Relations
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https://inquiryintoinquiry.com/2024/01/26/survey-of-semiotics-semiosis-sign…
Regards,
Jon