A brief history of logic: from Leibniz to Boole | Math Foundations 254 | N J Wildberger

แชร์
ฝัง
  • เผยแพร่เมื่อ 11 ก.ย. 2024
  • In the modern European era, medieval logic is replaced with new directions, motivated by an increased interest in systematizing reasoning. A prominent thinker in this direction is G. Leibniz, who applied his genius to, among many other things, the idea of a computing device and language that might allow systematic, even mechanical reasoning. In the 18th century, Euler, Lambert and Ploucquet introduced diagrams for representing logical relations.
    And then in the 19th century we move to more dramatic developments, largely due to the work of De Morgan and George Boole. We include some original work by Boole himself to get a sense of his thinking. This is when mathematics first intrudes on classical logic, presenting an algebraic approach to Aristotle's syllogisms, while both expanding the subject and restricting its interpretation to binary possibilities.
    ***********************
    My research papers can be found at my Research Gate page, at www.researchga...
    My blog is at njwildberger.com/, where I will discuss lots of foundational issues, along with other things.
    Online courses are being developed at openlearning.com. The first one, already underway, is Algebraic Calculus One at www.openlearni... Please join us for an exciting new approach to one of mathematics' most important subjects!
    If you would like to support these new initiatives for mathematics education and research, please consider becoming a Patron of this Channel at / njwildberger Your support would be much appreciated.
    Here are the Insights into Mathematics Playlists:
    • MathHistory: A course ...
    • WildTrig: Intro to Rat...
    • Math Foundations
    • Wild Linear Algebra
    • Famous Math Problems
    • Box Arithmetic
    • Elementary Mathematics...
    • Year9Maths
    • Ancient Mathematics
    • Wild West Banking
    • Sociology and Pure Mat...
    • Sociology and Pure Phy...
    • Old Babylonian Mathema...
    • Probability and Statis...
    • Boole's Logic and Circ...
    • Universal Hyperbolic G...
    • Differential Geometry
    • Algebraic Topology
    • MathSeminars
    • Playing Go
    • Diffusion Symmetry: A ...
    Here are the Wild Egg Maths Playlists (some available only to Members!)
    • Algebraic Calculus One
    • Classical to Quantum (...
    • Algebraic Calculus Two
    • Advice for mathematics...
    • Solving Polynomial Equ...
    • The Hexagrammum Mystic...
    • Algebraic Calculus and...
    • Dynamics on Graphs (Me...
    • Playlist
    • Triangle Geometry
    • Explorations with q-se...
    • Six: An elementary cou...
    • Maxel Inverses and Ort...
    ************************

ความคิดเห็น • 10

  • @BStack
    @BStack 7 หลายเดือนก่อน +3

    The pauses, when he knows he's blown your mind. Chef's kiss.

  • @malenno9641
    @malenno9641 2 ปีที่แล้ว +1

    Purely great content, thank you for doing this!

  • @seanpdudley
    @seanpdudley 3 ปีที่แล้ว

    Wonderful channel. Thank you.

  • @riansyahtohamba8215
    @riansyahtohamba8215 2 ปีที่แล้ว

    Thanks professor Wildberger!

  • @budiardjo6610
    @budiardjo6610 5 หลายเดือนก่อน

    thank you prof, learn a lot

  • @EthanLR
    @EthanLR 2 ปีที่แล้ว

    incredible knowledge and insight, thank you!

  • @patrickadu-amankwah1660
    @patrickadu-amankwah1660 ปีที่แล้ว

    Excellent video!!?

  • @ed.puckett
    @ed.puckett 3 ปีที่แล้ว

    You are a treasure

  • @BudBAugustine
    @BudBAugustine ปีที่แล้ว

    Thank you good sir