John Nash, Newton and F. Lee Baily walk into a bar.

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Discussion Overview

The discussion revolves around the conceptual intersection of mathematics, physics, and law, specifically focusing on the nature of points in three-dimensional space as they relate to physical objects and legal implications. Participants explore the theoretical implications of a point of contact between two solid bodies in a hypothetical scenario involving John Nash, Isaac Newton, and F. Lee Bailey.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • A participant introduces a scenario involving an olive and a toothpick to question whether a single one-dimensional point can exist in the real world when shared by two solid bodies.
  • Another participant seeks clarification on the meaning of the "different worlds" mentioned in the scenario.
  • A response defines the "worlds" as three-dimensional Euclidean spaces occupied by the olive and the toothpick, while referencing Heisenberg's Uncertainty Principle to argue that exact locations cannot be determined in nature.

Areas of Agreement / Disagreement

Participants do not reach a consensus, as there are differing interpretations of the nature of points in physical space and the implications of quantum mechanics on the discussion.

Contextual Notes

The discussion includes assumptions about the nature of physical contact and the implications of quantum mechanics, which remain unresolved. The relationship between mathematical concepts and legal interpretations is also suggested but not fully explored.

Rlafrog
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I am (relatively) new to your forum and do not know where to post my question. I am kinda well-read in Physics and Math, but very not educated or trained in either. I am personally interested in the fuzzy area where Math, Physics and (patent) Law cross paths.

The Problem:

"I need help gentlemen." F. Lee Bailey begins, "My client is accused of stabbing someone with the point of a pencil." "Easy defense," states Nash, "...a point can't live in the real world." "Not so, Johnny boy!" replies Newton. "Don't play games with me, Issac" replies Nash. "I'd like to see you prove it." At which point, Newton pulls an Olive (O) from his Martini, sets it on the bar, pokes it gently with a toothpick (T) and sends it rolling across the surface and into Nash's lap.

If the Olive lives in the world of O(x,y,z) and the toothpick lives in the world of T(x,y,z), and they both live in the Bar world of B(x,y,z); Then, ...when Newton pokes the olive with the tooth pick, a force of F is transmitted from his hand to single a point of the toothpick, T(x,y,z), where F acts upon the olive (O) at the single point of O(x,y,z) where this single and specific point-of-contact determines the vector of the force acting upon the olive and causes the olive to rotate and translate in a specific direction into Nash's lap. (?)

The Question:

Can a single, one-dimension point live in the real world if it is shared by two solid bodies that live in the real world, where T(x,y,z) is-not-equal-to O(x,y,z) (?), but T(x,y,z) is-the-very-same point-as O(x,y,z) ?

I (generally) understand the Physics and Math of this question. I would be very interested to learn how the answer translates (pun intended) to the legal world. I would appreciate it if someone could point me to Math, Physics or Law literature/references that may discuss this notion or one similar to it.
 
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What exactly are these different "worlds"?
 
The "worlds" are the three dimensional euclidian spaces that occupy Olive and the toothpick. Unfortunately for Newton, Heisenbergs Uncertainty Principle says that not exact place is posible to determine, therefore events cannot happen in exactly one point in nature.
 
And with that, the thread is closed.
 

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