Ittay Weiss
Reputation
93/100 score
 Aug 17 comment Constructing $\mathbb{R}$ from $\mathbb{Q}$ using Cauchy Sequences. what is your definition of the field $\mathbb R$? Aug 17 comment Why is the base of an exponential function limited to the set of real numbers greater than zero? @Nomad any course that defers explaining the madness to a later course is not doing a good job. There is no madness in mathematics and there is no reason to present things is if there is madness with the disclaimer that things will be clarified later on. Aug 15 comment Is there a name for the function $\max(x, 0)$? should there be a name for this function? is it important enough to get its own name? is it used often enough to warrant an abbreviation? does it capture something so profound to be worth naming? If you answer any of these question positively, then you can improve your question. Aug 15 answered Is Banach space a correct context to study sequences and series? Aug 14 answered Are numbers like $\left ( -2 \right )^{\sqrt{2}}$ real or complex? Aug 14 comment Is there a way to prove that $2+2$ really equals $4$? For this question to make sense you must specify what you mean by $2$, what you mean by $4$, and what you mean by $+$. Before you do that, you did not actually ask a question. Aug 13 comment Definition of bounded set in a topological vector space No, there is not way to express boundedness topologically. This is exactly what you need to do though. Ask yourself what kind of information you need to have in order to speak of boundedness. How would you define boundedness in a topological spaces? try it! you'll see it does not work. Then you will appreciate the definition in a TVS more perhaps. Aug 13 comment Existence of a metric space M with no continuous map from M to any other metric space @MPW the need for $Y\ne\emptyset$ is since in the answer a choice of an element in $Y$ is made. You are commenting that "every function $M\to \emptyset$ is continuous" is correct, but is not what OP asked, nor what was answered above. Aug 13 comment Existence of a metric space M with no continuous map from M to any other metric space you need to assume $Y$ is not empty. Aug 13 answered Definition of bounded set in a topological vector space Aug 12 awarded Nice Answer Aug 12 reviewed Approve How to solve these simultaneous equations using any better way? Aug 12 comment Every closed (not-necessarily symmetric) monoidal category is canonically self-enriched, right? no need for symmetry at all. Aug 12 answered Understanding the proof of: If $|A| = \kappa$, then $|\mathcal{P}(A)|=2^{\kappa}$. Aug 10 answered Is there any efficient algorithm for finding subgroups of a given finite group? Aug 8 comment What happen to composite of infinite number of continuous functions? for this question to make sense you will have to first clarify what is the infinite composition of functions. Aug 6 comment The nature of infinities Next time I'm in your neighborhood... the beer is on me ;) Aug 5 comment The nature of infinities A mathematical proof, just like a prediction from a physics theory, is deductive reasoning. But mathematics, just like physics, is not only about proving things. It's also about building theories, choosing axioms, judging how useful a theorem is, and, most importantly perhaps, rejecting a theory because its theorems/prediction are (while proven) not correct. Aug 5 comment The nature of infinities Just one comment. While mathematical proofs are very different from physical experiments, the scientific process guiding mathematics and physics is very similar (if not identical). The mathematical axioms, just like theories in physics, are trying to capture something. If the theorems/predictions of the theory disagree with our intuition then we may adjust our intuition but if the disagreement is too much to handle we change the axioms. Aug 5 answered The nature of infinities