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.  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.

Elements

• Differential Propositional Calculus
• Part 1 • Part 2 • Appendices • References

• Differential Logic • Part 1 • Part 2 • Part 3

• Differential Logic and Dynamic Systems
• Part 1 • Part 2 • Part 3 • Part 4 • Part 5
• Appendices • References

Blog Series

• Differential Logic • The Logic of Change and Difference

• Differential Logic • (1) • (2) • (3) • (4) • (5) • (6) • (7) • (8) • (9) • (10) • (11) • (12) • (13) • (14) • (15) • (16) • (17) • (18)
• Comments • (1) • (2) • (3) • (4) • (5) • (6) • (7)
• Discussions • (1) • (2) • (3) • (4) • (5) • (6) • (7) • (8) • (9) • (10) • (11) • (12) • (13) • (14) • (15) • (16)

• Differential Propositional Calculus • (1) • (2) • (3) • (4) • (5) • (6) • (7) • (8) • (9) • (10) • (11) • (12) • (13) • (14) • (15) • (16) • (17) • (18) • (19) • (20) • (21) • (22) • (23) • (24) • (25) • (26) • (27) • (28) • (29) • (30) • (31) • (32) • (33) • (34) • (35) • (36) • (37)
• Discussions • (1) • (2) • (3) • (4) • (5) • (6) • (7) • (8) • (9)

• Differential Logic and Dynamic Systems
• Discussions • (1) • (2) • (3) • (4) • (5) • (6) • (7)

• Differential Logic, Dynamic Systems, Tangent Functors • (1)
• Comments • (1) • (2)
• Discussions • (1) • (2) • (3) • (4) • (5) • (6) • (7) • (8) • (9)

Architectonics

• Minimal Negation Operator
• Cactus Language • Part 1 • Part 2 • Part 3

Applications

• Differential Analytic Turing Automata

Blog Dialogs

• The Present Is Big With The Future • Leibniz • (1) • (2)
• All Process, No Paradox • (1) • (2) • (3) • (4) • (5) • (6) • (7) • (8) • (9)
• Time, Topology, Differential Logic • (1) • (2) • (3) • (4) • (5) • (6)

Explorations

• Frankl Conjecture • (1) • (2) • (3) • (4) • (5) • (6) • (7) • (8) • (9) • (10) • (11) • (12)

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