Survey of Abduction, Deduction, Induction, Analogy, Inquiry • 4
• http://inquiryintoinquiry.com/2024/02/27/survey-of-abduction-deduction-induction-analogy-inquiry-4/

This is a Survey of blog and wiki posts on three elementary forms of inference, as recognized by a logical tradition extending from Aristotle through Charles S. Peirce. Particular attention is paid to the way these inferential rudiments combine to form the more complex patterns of analogy and inquiry.

Please follow the above link for the full set of resources.
Articles and blog series on the core ideas are linked below.

Project Reports —

Functional Logic • Inquiry and Analogy
• https://oeis.org/wiki/Functional_Logic_%E2%80%A2_Inquiry_and_Analogy

Prospects for Inquiry Driven Systems
• https://oeis.org/wiki/User:Jon_Awbrey/Prospects_for_Inquiry_Driven_Systems

Introduction to Inquiry Driven Systems
• https://oeis.org/wiki/Introduction_to_Inquiry_Driven_Systems

Information = Comprehension × Extension
• https://oeis.org/wiki/Information_%3D_Comprehension_%C3%97_Extension

Inquiry Driven Systems • Inquiry Into Inquiry
• https://oeis.org/wiki/Inquiry_Driven_Systems_%E2%80%A2_Overview

Blog Surveys —

Survey of Inquiry Driven Systems
• https://inquiryintoinquiry.com/2023/04/23/survey-of-inquiry-driven-systems-5/

Survey of Pragmatic Semiotic Information
• https://inquiryintoinquiry.com/2023/07/23/survey-of-pragmatic-semiotic-information-7/

Survey of Theme One Program
• https://inquiryintoinquiry.com/2024/02/26/survey-of-theme-one-program-6/

#Peirce #Logic #Abduction #Deduction #Induction #Analogy #Inquiry
#FunctionalLogic #DifferentialLogic #DynamicsOfInquiry #Semiotics
#InformationEqualsComprehensionTimesExtension #InquiryDrivenSystem

Survey of Abduction, Deduction, Induction, Analogy, Inquiry • 3
• https://inquiryintoinquiry.com/2023/04/02/survey-of-abduction-deduction-induction-analogy-inquiry-3/

This is a Survey of blog and wiki posts on three elementary forms of inference, as recognized by a logical tradition extending from Aristotle through C.S. Peirce. Particular attention is paid to the way these inferential rudiments combine to form the more complex patterns of analogy and inquiry.

Blog Dialogs —

• Abduction, Deduction, Induction, Analogy, Inquiry
1. https://inquiryintoinquiry.com/2012/08/16/abduction-deduction-induction-analogy-inquiry-1/
2. https://inquiryintoinquiry.com/2012/11/21/abduction-deduction-induction-analogy-inquiry-2/
3. https://inquiryintoinquiry.com/2016/02/17/abduction-deduction-induction-analogy-inquiry-3/
•••
29. https://inquiryintoinquiry.com/2020/03/15/abduction-deduction-induction-analogy-inquiry-29/
30. https://inquiryintoinquiry.com/2020/12/15/abduction-deduction-induction-analogy-inquiry-30/
31. https://inquiryintoinquiry.com/2022/10/14/abduction-deduction-induction-analogy-inquiry-31/

Blog Series —

Functional Logic • Inquiry and Analogy
• https://inquiryintoinquiry.com/2023/06/20/functional-logic-inquiry-and-analogy-preliminaries-2/
1. https://inquiryintoinquiry.com/2023/06/21/functional-logic-inquiry-and-analogy-1-2/
2. https://inquiryintoinquiry.com/2023/06/22/functional-logic-inquiry-and-analogy-2-2/
3. https://inquiryintoinquiry.com/2023/06/23/functional-logic-inquiry-and-analogy-3-2/
•••
19. https://inquiryintoinquiry.com/2023/07/17/functional-logic-inquiry-and-analogy-19-2/
20. https://inquiryintoinquiry.com/2023/07/18/functional-logic-inquiry-and-analogy-20-2/
21. https://inquiryintoinquiry.com/2023/07/19/functional-logic-inquiry-and-analogy-21-2/
Discussion
• https://inquiryintoinquiry.com/2023/07/06/functional-logic-inquiry-and-analogy-discussion-1/

OEIS Wiki —

Functional Logic • Inquiry and Analogy
• https://oeis.org/wiki/Functional_Logic_%E2%80%A2_Inquiry_and_Analogy

Prospects for Inquiry Driven Systems
• https://oeis.org/wiki/User:Jon_Awbrey/Prospects_for_Inquiry_Driven_Systems

Introduction to Inquiry Driven Systems
• https://oeis.org/wiki/Introduction_to_Inquiry_Driven_Systems

Information = Comprehension × Extension
• https://oeis.org/wiki/Information_%3D_Comprehension_%C3%97_Extension

Inquiry Driven Systems • Inquiry Into Inquiry
• https://oeis.org/wiki/Inquiry_Driven_Systems_%E2%80%A2_Overview

#Peirce #Logic #Abduction #Deduction #Induction #Analogy #Inquiry
#FunctionalLogic #DifferentialLogic #DynamicsOfInquiry #Semiotics
#InformationEqualsComprehensionTimesExtension #InquiryDrivenSystem

@NicoleCRust @knutson_brain

Here's the beginning of a prospective blog series I started … this topic interacts strongly with a host of others I've been struggling to articulate over the years …

Inquiry Into Inquiry • Discussion 6
• https://inquiryintoinquiry.com/2023/04/30/inquiry-into-inquiry-discussion-6/

Re: Nicole Rust
• https://mathstodon.xyz/@NicoleCRust@neuromatch.social/110197230713039748

❝Computations or Processes —
How do you think about the building blocks of the brain?❞

I keep coming back to this thread about levels, along with others on the related issue of paradigms, as those have long been major questions for me. I am trying to clarify my current understanding for a blog post. It will start out a bit like this —

A certain amount of “level” language is natural in the sciences but “level” metaphors come with hidden assumptions about higher and lower places in hierarchies which don't always fit the case at hand. In complex cases what look at first like parallel strata may in time be better comprehended as intersecting domains or mutually recursive and entangled orders of being. When that happens we can guard against misleading imagery by speaking of domains or realms instead of levels.

To be continued …

#Peirce #Logic #LogicalGraphs #DifferentialLogic #CactusLanguage
#Inquiry #InquiryDrivenSystem #InquiryIntoInquiry #NeuralNetwork
#Semiotics #RelationTheory #SignRelation #TriadicRelation #Model
#ObjectiveReality #MathematicalStructure #SymbolicRepresentation

Inquiry Into Inquiry • Discussion 6
• https://inquiryintoinquiry.com/2023/04/30/inquiry-into-inquiry-discussion-6/

Re: Nicole Rust
• https://mathstodon.xyz/@NicoleCRust@neuromatch.social/110197230713039748

❝Computations or Processes —
How do you think about the building blocks of the brain?❞

I keep coming back to this thread about levels, along with others on the related issue of paradigms, as those have long been major questions for me. I am trying to clarify my current understanding for a blog post. It will start out a bit like this —

A certain amount of “level” language is natural in the sciences but “level” metaphors come with hidden assumptions about higher and lower places in hierarchies which don't always fit the case at hand. In complex cases what look at first like parallel strata may in time be better comprehended as intersecting domains or mutually recursive and entangled orders of being. When that happens we can guard against misleading imagery by speaking of domains or realms instead of levels.

To be continued …

#Peirce #Logic #LogicalGraphs #DifferentialLogic #CactusLanguage
#Inquiry #InquiryDrivenSystem #InquiryIntoInquiry #NeuralNetwork
#Semiotics #RelationTheory #SignRelation #TriadicRelation #Model
#ObjectiveReality #MathematicalStructure #SymbolicRepresentation

#InquiryDrivenSystems • #SurveyPage
• https://inquiryintoinquiry.com/2022/08/12/survey-of-inquiry-driven-systems-4/

An #InquiryDrivenSystem is a system having among its #StateVariables some representing its #StateOfInformation with respect to various topics of interest, for instance, its own state and the states of any potential #ObjectSystems. Thus it has a #ComponentOfState tracing a trajectory though an #InformationStateSpace.

Related —
#AI #IntelligentSystems
#Logic #DifferentialLogic
#Peirce #Inquiry #Semiotics
#ScientificMethod #Cybernetics