Animated Logical Graphs • 65

Thus, what looks to us like a sphere of scientific knowledge more accurately should be represented as the inside of a highly irregular and spiky object, like a pincushion or porcupine, with very sharp extensions in certain directions, and virtually no knowledge in immediately adjacent areas.  If our intellectual gaze could shift slightly, it would alter each quill’s direction, and suddenly our entire reality would change.

Herbert J. Bernstein • “Idols of Modern Science”

Re: Laws of FormLyle Anderson
Re: Richard J. LiptonThe Art Of Math

Dear Lyle,

Thanks for the link to the Wikipedia article on Cactus Graphs, which I found surprisingly good for that venue.  I was pleased to see it mentioned the role my own first teacher in graph theory, Frank Harary, played in the history of cactus graphs.  Frank co-authored Graphical Enumeration and many papers with Ed Palmer, my second teacher in graph theory and later my advisor in grad school.

Synchronicity being what it is, one of the jobs I worked on between my undergrad decade and my first crack at grad school was scanning and measuring particle interactions on bubble-chamber filmstrips in a high-energy physics lab, so I got a gadshillion gammas engrammed in my brain from that time.

Regards,

Jon

Resources

cc: Cybernetics (1) (2)Laws of FormFB | Logical Graphs • Ontolog Forum (1) (2)
• Peirce List (1) (2) (3) (4) (5) (6) (7) (8) (9) (10) (11) (12) (13) • Structural Modeling (1) (2)
• Systems Science (1) (2)

This entry was posted in Amphecks, Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Constraint Satisfaction Problems, Deduction, Diagrammatic Reasoning, Duality, Equational Inference, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Model Theory, Painted Cacti, Peirce, Proof Theory, Propositional Calculus, Propositional Equation Reasoning Systems, Spencer Brown, Theorem Proving, Visualization and tagged , , , , , , , , , , , , , , , , , , , , , , , , , . Bookmark the permalink.

10 Responses to Animated Logical Graphs • 65

  1. Pingback: Animated Logical Graphs • 66 | Inquiry Into Inquiry

  2. Pingback: Animated Logical Graphs • 69 | Inquiry Into Inquiry

  3. Pingback: Animated Logical Graphs • 70 | Inquiry Into Inquiry

  4. Pingback: Animated Logical Graphs • 71 | Inquiry Into Inquiry

  5. Pingback: Animated Logical Graphs • 72 | Inquiry Into Inquiry

  6. Pingback: Animated Logical Graphs • 73 | Inquiry Into Inquiry

  7. Pingback: Animated Logical Graphs • 74 | Inquiry Into Inquiry

  8. Pingback: Survey of Animated Logical Graphs • 4 | Inquiry Into Inquiry

  9. Pingback: Animated Logical Graphs • 75 | Inquiry Into Inquiry

  10. Pingback: Animated Logical Graphs • 76 | Inquiry Into Inquiry

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google photo

You are commenting using your Google account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s

This site uses Akismet to reduce spam. Learn how your comment data is processed.