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ajayraho
- 6
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Is this true?
(∞ - 1) < ∞
(∞ - 1) < ∞
How? The smallest cardinal number is countably infinite and it doesn't matter whether you add 1 or not.micromass said:There are multiple notions of infinity, some notions where the above is true...
fresh_42 said:How? The smallest cardinal number is countably infinite and it doesn't matter whether you add 1 or not.
What do you mean?micromass said:There are more notions of infinity than the cardinal or ordinal numbers.
fresh_42 said:What do you mean?
"Inequality with Infinity" refers to mathematical inequalities that involve the concept of infinity. This can include expressions such as "greater than infinity" or "less than infinity". In these cases, infinity is used as a theoretical concept rather than a specific numerical value.
Inequalities can involve infinity when dealing with infinite sets or values that approach infinity. For example, in the expression "x > infinity", x could represent a value that is continuously increasing and approaching infinity.
Yes, there are rules and limitations when working with inequalities and infinity. For example, infinity is not a real number and cannot be used in equations or calculations as such. It is also important to consider the context and meaning behind the use of infinity in an inequality.
Inequalities with infinity can be used to model and analyze various real-world scenarios, such as population growth, economic trends, and the behavior of physical systems. They can also be used in mathematical proofs and in the fields of calculus and analysis.
No, inequalities with infinity can never be equal. This is because infinity is not a specific value or number, but rather a concept that represents something infinitely large or continuously increasing. Therefore, it cannot be compared or equated to a finite value or number.