The Formal Method
How can, according to George Cantor’s version, formally determine that there is an infinite series of numbers that is more infinite than another infinite?
Simply by making a relationship (connecting in) between each member of the two sets.
So, if the members of the two sets can be connected one to one (bijective), then it means that they are the same amount of number, both have the same amount of infinite.
Put simply: there is an infinity that is shorter than another infinity. You see, this reasoning is much more absurd, but forcing it, as this is a mathematical structure.
17
110 reads
CURATED FROM
IDEAS CURATED BY
IN GOD WE TRUST I am free not because i have choices, but i am free because i rely on God with quality assured
Beware of Illusion in Math | Denial of CH Determines that We are not Living On Discrete World
“
The idea is part of this collection:
Learn more about scienceandnature with this collection
The historical significance of urban centers
The impact of cultural and technological advances
The role of urban centers in shaping society
Related collections
Similar ideas to The Formal Method
Myth: The left side of your brain is logical, the right is creative
Generally, no part of your brain is exclusively dedicated to creativity or mathematical reasoning. Neurons compute every action you take from across the entire brain.
While your cerebral cortex consists of two halves, both are intricately connected. Language ability does t...
Discussion @StackExchange
What are the useful outcomes of denying the Continuum Hypothesis?
This opens new perspective of how we think on math.
_____
How do the integers and ...
Venn Diagram
Continuum hypothesis is failed, because of these reasons:
If we can do multiple calc on different areas of infinity and that looks like we are doing things differently, or we're dealing with different infinity, but actually we're doing at the same area, the same numbes were used interchange...
Read & Learn
20x Faster
without
deepstash
with
deepstash
with
deepstash
Personalized microlearning
—
100+ Learning Journeys
—
Access to 200,000+ ideas
—
Access to the mobile app
—
Unlimited idea saving
—
—
Unlimited history
—
—
Unlimited listening to ideas
—
—
Downloading & offline access
—
—
Supercharge your mind with one idea per day
Enter your email and spend 1 minute every day to learn something new.
I agree to receive email updates