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Jan
28
comment What's the successor of $\emptyset$? Do we need to assume that $\emptyset \in \emptyset$ for the successor to exist?
@DanChristensen The book has the Peano Axioms, but at this elementary level (in the book), the natural numbers still don't exist. The author is in the process of construction.
Jan
26
revised Good books on “advanced” probabilities
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Jan
26
revised Good books on “advanced” probabilities
added 89 characters in body
Jan
26
revised Good books on “advanced” probabilities
added 148 characters in body
Jan
26
revised Good books on “advanced” probabilities
added 5 characters in body
Jan
26
comment How to Self learn math
@ireallydonknow He's probably missing the order in which the subjects must be studied.
Jan
26
comment How to Self learn math
@BharathGRon This site contains a order. Also, look this answer. I'd advise you to start with Lang's Basic Mathematics and Geometry if you're in a really basic level. Good luck.
Jan
26
accepted What's the right moment to learn Set Theory?
Jan
26
accepted Is there a proof of the irrationality of $\sqrt{2}$ that involves modular arithmetic?
Jan
26
accepted Since the conception of Set Theory, was Russell's Set the only problematic set found?
Jan
26
accepted Misconceptions about Cantor's diagonal argument?
Jan
26
comment What's the successor of $\emptyset$? Do we need to assume that $\emptyset \in \emptyset$ for the successor to exist?
Yes. Sorry, my mind was too burned for me to notice the difference.
Jan
26
accepted What's the successor of $\emptyset$? Do we need to assume that $\emptyset \in \emptyset$ for the successor to exist?
Jan
26
comment What's the successor of $\emptyset$? Do we need to assume that $\emptyset \in \emptyset$ for the successor to exist?
Thanks. Yes, now I see. I was afraid of doing the operation and having no element to put in there. I thought that the doing the operation and picking $x\in b$ would give me an indefinite expression such as divison by $0$.
Jan
26
accepted Doubts on the axiom of union?
Jan
26
asked What's the successor of $\emptyset$? Do we need to assume that $\emptyset \in \emptyset$ for the successor to exist?
Jan
24
asked Doubts on the axiom of union?
Jan
24
accepted $(X \supset A)\wedge (X \supset B)|(Y\supset A) \wedge (Y \supset B)\to Y\supset X$|Prove that $X=A \cup B$.
Jan
22
revised $(X \supset A)\wedge (X \supset B)|(Y\supset A) \wedge (Y \supset B)\to Y\supset X$|Prove that $X=A \cup B$.
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Jan
22
comment $(X \supset A)\wedge (X \supset B)|(Y\supset A) \wedge (Y \supset B)\to Y\supset X$|Prove that $X=A \cup B$.
@user127.0.0.1 That's what I thought. But you wrote in a very compact form. Do you agree?