How to begin geometry? What is the correct framework? How to define point, line, circle etc etc? These are some of the issues we will be addressing in this first look at the logical foundations of geometry.
It seems as if the tacit assumption of Prof. Wildberger is that existence is limited to what can be experienced by a single sapient entity in a vanishingly small moment. This is no less an act of blind faith than that required to "believe" by an equivalent act of blind faith in actual infinities. Why not widen our horizons, at least potentially, by allowing the belief in many sapient entities, even an infinite number and a limit to demonstrable facts for one's own notion of identity.
It appears that you haven't read the juiciest parts of my previous comment. In fact, it appears that you've totally missed the obvious point I made.
Perhaps you should re-read my comment, contemplate each word in the context of its sentence and each sentence in the context of its paragraph. And then wait for a few days before you re-comment. That might help you form a more relavent comment.
First, some questions. Do you truly believe that the study of mathematics can limit social evolution? Do you truly believe that the concepts within mathematics and more specifically geometry, are in fact evil? Just because math is abstract at times does not make it any less useful. I certainly agree math could be made more interesting in school, but that can be said of most subjects! Math has helped us in uncountable (no pun intended) ways. Don't knock it just because it can be hard to grasp.
The abstractions of math and geometry are like blinders, they restrict a persons perception of greater reality, and therefore, limit social evolution.
If schools included more accurate tools for understanding and perceiving the foundations of our physical world, it would be a different story, but schools teach the same limited ciriculum decade after decade.
The concepts of imaginary points, lines and planes are out-dated, and ultimately evil, because they mislead children. :<
It seems as if the tacit assumption of Prof. Wildberger is that existence is limited to what can be experienced by a single sapient entity in a vanishingly small moment. This is no less an act of blind faith than that required to "believe" by an equivalent act of blind faith in actual infinities. Why not widen our horizons, at least potentially, by allowing the belief in many sapient entities, even an infinite number and a limit to demonstrable facts for one's own notion of identity.
POWLIHERE22 5 days ago in playlist MathFoundations
I think you are wrong and right. Imaginary ponts are very good, but are presented as a general case, when they infact are just a special case.
kalvhult 2 years ago
It appears that you haven't read the juiciest parts of my previous comment. In fact, it appears that you've totally missed the obvious point I made.
Perhaps you should re-read my comment, contemplate each word in the context of its sentence and each sentence in the context of its paragraph. And then wait for a few days before you re-comment. That might help you form a more relavent comment.
thinkofwhy 2 years ago
First, some questions. Do you truly believe that the study of mathematics can limit social evolution? Do you truly believe that the concepts within mathematics and more specifically geometry, are in fact evil? Just because math is abstract at times does not make it any less useful. I certainly agree math could be made more interesting in school, but that can be said of most subjects! Math has helped us in uncountable (no pun intended) ways. Don't knock it just because it can be hard to grasp.
nothingbutfun 2 years ago
Now if you could explain how this relates to the video I'd be more intrigued.
Viridian85 2 years ago
The abstractions of math and geometry are like blinders, they restrict a persons perception of greater reality, and therefore, limit social evolution.
If schools included more accurate tools for understanding and perceiving the foundations of our physical world, it would be a different story, but schools teach the same limited ciriculum decade after decade.
The concepts of imaginary points, lines and planes are out-dated, and ultimately evil, because they mislead children. :<
thinkofwhy 2 years ago