# Tagged Questions

For questions whose answers can't be objectively evaluated as correct or incorrect, but which are still relevant to this site. Please be specific about what you are after.

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### Soft Question:Is the following a Paradox?

Can the statement: "I swear by God that I will never swear" be regarded as a variant of the Paradox of Self-Reference like the one "I am a liar"?
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### Is there a specific notion as to what 'forgetfulness' is?

Concrete categories $A$ carry a forgetful functor $U:A\rightarrow Set$, whose left adjoint if it exists is the free functor. There are other forgetful functors such as $U':Ass\rightarrow Vect$ whose ...
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### Proofs involving Disjunctions [Velleman, Chapter 3.5]

$\Large{{1.}}$ Are proofs using strategies $P136, P143$ always easier than those using $P140$? In the former two, only one statement (either $P$ or $Q$) must be proven. In the latter, both $P$ and $Q$ ...
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### Greedy algorithm for reading a single paper in Dutch

I want to read the paper of Freudenthal and van der Waerden that proves there are only 8 convex deltahedra. (“Over een bewering van Euclides” Simon Stevin 25 (1946–7), pp. 115–121.) I have a copy of ...
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### Introductory Algebra Book Suggestions

General Requirements The algebra book must be no more than 400-500 pages in length and should contain end-of-lesson/chapter exercises. Required Topics linear equations linear inequalities ...
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### Property With Specific Properties

I am thinking of making a game (for the mathematicians that study numbers) in which players try to construct a set with certain properties. Which properties satisfy the following: Formally, every ...
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### How to look at a polynomial ring based on a ring that is not commutative?

When I first met polynomial rings $R[X]$ I wondered: 'where do they come from?' Later the idea that - if $R$ is commutative - they could be interpreted as $R$-algebras free over a singleton brought ...
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### Knowledge of proofs and proof-writing before studying spivak's or apostol's Calculus

I want to start reading spivak or apostol calculus. But I believe a certain level of proof knowledge is essential to solve the problems. Do these books teach you how to prove results or do we learn ...
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### How should we think of maps to the intial object?

A final object in a category is one that has a unique map from any other object. An intuitive way of thinking about the final object is as the 'point'. Then we think of maps from the 'point' to ...
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### Lang as a first algebra book

I think I am ready to learn algebra from Lang, but wanted some perspective. I have been exposed to: Linear algebra: All of Axler From my other, legendary honors course: -Order theory (lattices, ...