Survey of Differential Logic

[Jon Awbrey]

Cf: Survey of Differential Logic • 5
https://inquiryintoinquiry.com/2023/04/25/survey-of-differential-logic-5/

All,

This is a Survey of work in progress on Differential Logic,
material I'm developing toward a more systematic account.

Differential logic is the component of logic whose object is
the description of variation — the aspects of change, difference,
distribution, and diversity — in universes of discourse subject
to logical description. A definition as broad as that naturally
incorporates any study of variation by way of mathematical models,
but differential logic is especially charged with the qualitative
aspects of variation pervading or preceding quantitative models.
To the extent a logical inquiry makes use of a formal system, its
differential component treats the use of a differential logical
calculus — a formal system with the expressive capacity to describe
change and diversity in logical universes of discourse.

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

Differential Propositional Calculus
• https://oeis.org/wiki/Differential_Propositional_Calculus_%E2%80%A2_Overview
1 https://oeis.org/wiki/Differential_Propositional_Calculus_%E2%80%A2_Part_1
2 https://oeis.org/wiki/Differential_Propositional_Calculus_%E2%80%A2_Part_2
• https://inquiryintoinquiry.com/2020/02/16/differential-propositional-calculus-overview/

Differential Logic
• https://oeis.org/wiki/Differential_Logic_%E2%80%A2_Overview
1 https://oeis.org/wiki/Differential_Logic_%E2%80%A2_Part_1
2 https://oeis.org/wiki/Differential_Logic_%E2%80%A2_Part_2
3 https://oeis.org/wiki/Differential_Logic_%E2%80%A2_Part_3
• https://inquiryintoinquiry.com/2020/03/20/differential-logic-overview/

Differential Logic and Dynamic Systems
• https://oeis.org/wiki/Differential_Logic_and_Dynamic_Systems_%E2%80%A2_Overview
1 https://oeis.org/wiki/Differential_Logic_and_Dynamic_Systems_%E2%80%A2_Part_1
2 https://oeis.org/wiki/Differential_Logic_and_Dynamic_Systems_%E2%80%A2_Part_2
3 https://oeis.org/wiki/Differential_Logic_and_Dynamic_Systems_%E2%80%A2_Part_3
4 https://oeis.org/wiki/Differential_Logic_and_Dynamic_Systems_%E2%80%A2_Part_4
5 https://oeis.org/wiki/Differential_Logic_and_Dynamic_Systems_%E2%80%A2_Part_5
• https://inquiryintoinquiry.com/2023/03/04/differential-logic-and-dynamic-systems-overview-2/

Regards,

Jon
• https://mathstodon.xyz/@Inquiry

[Jon Awbrey]

Survey of Differential Logic • 6
• https://inquiryintoinquiry.com/2023/11/10/survey-of-differential-logic-6/

All,

This is a Survey of work in progress on Differential Logic,

resources under development toward a more systematic treatment.

Differential logic is the component of logic whose object is
the description of variation — the aspects of change, difference,
distribution, and diversity — in universes of discourse subject
to logical description. A definition as broad as that naturally
incorporates any study of variation by way of mathematical models,
but differential logic is especially charged with the qualitative
aspects of variation pervading or preceding quantitative models.

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

Differential Propositional Calculus

• https://inquiryintoinquiry.com/2023/11/12/differential-propositional-calculus-overview-a/

Differential Logic

• https://inquiryintoinquiry.com/2020/03/20/differential-logic-overview/

Differential Logic and Dynamic Systems

• https://inquiryintoinquiry.com/2023/03/04/differential-logic-and-dynamic-systems-overview-a/

Regards,

Jon

cc: https://www.academia.edu/community/lQX66L