Tag Archive for: foundations

quantum entanglement

Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect

/
0 Comments
Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and…
what are numbers

What Are Numbers?

/
7 Comments
Introduction When doing mathematics,  we usually take for granted what natural numbers, integers, and rationals are. They are pretty intuitive.   Going…
quantum information

How Quantum Information Theory Solves “the only mystery” of Quantum Mechanics

/
0 Comments
In Chapter 37 of "The Feynman Lectures on Physics Volume 1," Richard Feynman famously wrote that the mystery of wave-particle duality in the double-slit…
against quantum interpretations

Against “interpretation”

/
195 Comments
Against interpretations in QM I am against "interpretations" of Quantum Mechanics (QM) in a sense in which John Bell [1] was against measurement in QM…
Super Quantum

The Unreasonable Effectiveness of the Popescu-Rohrlich Correlations

/
3 Comments
In this Insight, I will show how the Popescu-Rohrlich (superquantum) correlations provide an unreasonable advantage in a particular "quantum guessing game''…
qm_interpretations

The Fundamental Difference in Interpretations of Quantum Mechanics

/
191 Comments
A topic that continually comes up in discussions of quantum mechanics is the existence of many different interpretations. Not only are there different…
micro2

Peano Axioms: Construction of Natural Numbers and Properties

/
0 Comments
Bloch Chapter 1.2The Peano system in Bloch has a special element ##1\in \mathbb{N}##. The intuitive idea here is that ##\mathbb{N} = \{1,2,3,...\}##.…
micro3

Set-Theoretic Foundations of Numbers and Functions

/
0 Comments
Set-Theoretic Foundations of Mathematics It is important to realize that in standard mathematics we attempt to characterize everything in terms of sets.…
abstract_algebra

Peano Axioms Explained: Building the Natural Numbers

/
0 Comments
Using: Anderson-Feil Chapter 1.1 Is zero a natural number? This is a pretty controversial question. Many mathematicians - especially those working in foundational…