We need more individual rebellion. — Rob J Kennedy
If you are saying that compassion and caring doesn't solve any problems for those being shown compassion and caring, that doesn't seem to make sense to me. — Beverley
I used to be quite an active musician & composer/songwriter, but sadly I’m still not famous & successful — niki wonoto
Maybe you could claim to be an existentialist — Moliere
So when you were in your 20s-30s did you ever wonder about the power of humans to choose who and what they will be? Or did the abysmal events of the 20th Century leave you hopeless? — frank
Of course you always have to be careful with AI - it makes stuff up so needs confirmation — Gary Venter
some studies have indicated that women tend to be more represented in certain areas of mathematics compared to others. For example, fields such as mathematical biology, mathematical education, statistics, and applied mathematics have seen relatively higher levels of female participation compared to more traditionally male-dominated areas like pure mathematics or theoretical physics.
When we try to understand reality only through external physical things imagined from this outside position, we lose sight of the necessity of experience. This is the Blind Spot, which the authors show lies behind our scientific conundrums about time and the origin of the universe, quantum physics, life, AI and the mind, consciousness, and Earth as a planetary system
Another QM interpretation holds that the quantum field is a Hilbert space, not just mathematically but actually, which would make the physical world part of the set-theory universe, reversing the question this thread raises. I personally find this non-appealing for a few reasons. — Gary Venter
Quantum field theory (QFT) is a theoretical framework that combines quantum mechanics and special relativity to describe the behavior of elementary particles and their interactions. In the context of QFT, the quantum fields themselves are typically described mathematically as operator-valued fields defined on spacetime.
A Hilbert space is a mathematical concept used to describe the state space of a quantum system, where states are represented by vectors and physical observables are represented by operators. In quantum mechanics, the state space of a single particle is often described by a Hilbert space.
In quantum field theory, the state space becomes more complex due to the infinite degrees of freedom associated with fields defined at every point in spacetime. The state space of a quantum field theory is typically described by a Fock space, which is a direct sum of tensor products of Hilbert spaces associated with different numbers of particles. Each mode of the field (corresponding to a particular momentum) can be thought of as a harmonic oscillator, with its own associated Hilbert space.
So, while individual components of a quantum field theory can be described by Hilbert spaces, the full quantum field itself is typically not described by a single Hilbert space, but rather by a more complex structure known as a Fock space.
But the point stands nonetheless — Lionino
Commenting on this, I don't think it is quite correct to say that multiplication is not defined in <ℝ,+>. It doesn't exist in the scope of <ℝ,+> of course, but whether it is defined or not is not a pertinent question. But the point stands nonetheless — Lionino
Show me how you will determine the calculation of input values and a binary operator after you die; show me how the universe will determine the calculation of input values and a binary operator after all sentients die. — ucarr
The effect comes from the cause (by definition), so the effect includes the cause — LFranc
You’re saying it’s not empirical in the way that a novel or poem is not empirical, right? — Joshs
math philosophers who argued for the construction of mathematics as an empirical endeavor. — L'éléphant
↪jgill
My version — Mark Nyquist
Absent any physical theory, logic says non-existent and non-physical things don't have any cause and effect relation. — Mark Nyquist
- Brazillian Jiu jitsu;
- Drums, voice, guitar, bass, keys.. few others, including Irish Whistle!;
- Songwriting in light of the above - 23 albums and counting;
- Free Running/Parkour (mostly handstands and other power moves);
- Writing comedy for television and other stand-ups;
- Writing battle raps that will never see the light of day (though, there is footage of me doing several battles out there on the internet... )
- Collecting/enjoying Whisky/ey and fine Wine;
- Currently Learning Spanish and Arabic;
- Trying to solve the origins of the Voynich manuscript;
- Visiting puppy litters; and
- Writing science fiction (two pieces, thus far.. but one is a Trilogy for which i've only begun the first volume). — AmadeusD
even though the world has moved on, long covid still has me by the throat: — 180 Proof
I believe it makes perfect sense to say set x is only a member of itself in its own set — Philosopher19
There used to be a force of gravity. Now mass curves space and that produces what acts like a force, but explains the details better — Gary Venter
a little like MWI except alternate worlds (in Hilbert space) — noAxioms
We see a lot of interest in
physics and the other sciences, but it seems new ideas in
maths are rare . . .What am I really saying? Is research mathematics just
a pointless pastime... — Christoff Montnielsensons