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New posts in nonstandard-analysis
Is there a universal property for the ultraproduct?
category-theory
model-theory
nonstandard-analysis
A layman's motivation for non-standard analysis and generalised limits
soft-question
filters
motivation
nonstandard-analysis
Products of Infinitesimals
physics
nonstandard-analysis
infinitesimals
Why adjoining non-Archimedean element doesn't work as calculus foundation?
calculus
abstract-algebra
nonstandard-analysis
Defining the Derivative using Internal Set Theory (Non Standard Analysis)
real-analysis
set-theory
nonstandard-analysis
infinitesimals
Basic Geometric intuition, context is undergraduate mathematics
geometry
measure-theory
advice
nonstandard-analysis
synthetic-differential-geometry
l'Hopital's questionable premise?
calculus
reference-request
soft-question
math-history
nonstandard-analysis
Hyperreal field extension
logic
soft-question
set-theory
field-theory
nonstandard-analysis
What is the topology of the hyperreal line?
general-topology
nonstandard-analysis
infinitesimals
Uniqueness of hyperreals contructed via ultrapowers
real-analysis
model-theory
filters
nonstandard-analysis
What are the disadvantages of non-standard analysis?
analysis
soft-question
intuition
math-history
nonstandard-analysis
Do hypercontinuous fields exist?
abstract-algebra
field-theory
cardinals
nonstandard-analysis
Why hyperreal numbers are built so complicatedly?
abstract-algebra
number-systems
nonstandard-analysis
Can nonstandard analysis give a uniform probability distribution over the integers?
probability-theory
nonstandard-analysis
I would like to know an intuitive way to understand a Cauchy sequence and the Cauchy criterion.
analysis
nonstandard-analysis
cauchy-sequences
What's an example of an infinitesimal?
calculus
soft-question
math-history
nonstandard-analysis
infinitesimals
How can $0.999\dots$ not equal $1$?
real-numbers
nonstandard-analysis
What does limit actually mean?
calculus
limits
nonstandard-analysis
infinitesimals
Non-ZFC set theory and the hyperreals: problem solved?
logic
set-theory
model-theory
nonstandard-analysis
Does every Cauchy net of hyperreals converge?
nonstandard-analysis
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