Intereting Posts

Evaluation of the integral $\int_0^1 \frac{\ln(1 – x)}{1 + x}dx$
Dimension of Annihilator: $\text{dim} \, U^0 + \text{dim} \, U = \text{dim} \, V$
Why doesn't induction extend to infinity? (re: Fourier series)
Why is there a difference between a population variance and a sample variance
What's the variance of the following stochastic integral?
Why define norm in $L_p$ in that way?
Minimizing the cost of a path in a dynamic system
Looking for induction problems that are not formula-based
Summation of a function 2
Fundamental theorem of calculus for complex analysis, proof
Covering map is proper $\iff$ it is finite-sheeted
Examples of open problems solved through short proof
When is the universal cover of a Riemannian manifold complete?
What are your favorite relations between e and pi?
Maximize and Minimize a 12″ piece of wire into a square and circle

I just watched this video on Ted.com entitled:

Joshua Foer: Feats of memory anyone can do

and it got me thinking about memory from a programmers perspective, and since programming and mathematics are so similar I figured I post here as well. There are so many abstract concepts and syntactic nuances that are constantly encountered, and yet we still manage to retain that information.

- What are some strong algebraic number theory PhD programs?
- A graph of all of mathematics
- $\mathrm{card} ( \mathbb{Q})=\mathrm{card}( \mathbb{Q^c})$: Overcoming Wrong Intuition
- Why do we need to prove $e^{u+v} = e^ue^v$?
- How to explain the commutativity of multiplication to middle school students?
- How do you validate that two math expressions are equal?

The memory palace may help in remembering someone’s name, a sequence of numbers, or a random story, but are there any memorization techniques that can better aid those learning new math concepts?

- $\mathrm{card} ( \mathbb{Q})=\mathrm{card}( \mathbb{Q^c})$: Overcoming Wrong Intuition
- What is an intermediate definition for a tangent to a curve?
- Easiest and most complex proof of $\gcd (a,b) \times \operatorname{lcm} (a,b) =ab.$
- When does L' Hopital's rule fail?
- Prove that $A \subset B$ if and only if $A \setminus B = \emptyset$
- Venn diagram question
- Does one necessarily need an MS in Math before taking a PhD in Math?
- Need a result of Euler that is simple enough for a child to understand
- What are some good math specific study habits?
- “Long-division puzzles” can help middle-grade-level students become actual problem solvers, but what should solution look like?

You shouldn’t try to learn mathematics through memorization at all. It will get you nowhere: anything that can be memorized can be looked up these days. What you should try to learn is the underlying concepts and the way they relate to each other. If you understand those well enough, you won’t need to memorize anything.

Think of learning mathematics as being like learning, say, chess. Would you learn how to play chess by memorizing openings? Well, maybe that could work, but it’s probably a better idea to learn how to play chess by, y’know, playing a lot of chess.

For math there is no better way to remember than to just understand. Though the time required to reach that point may be too difficult to forget.

If you say that the techniques that exist to help memory are amazing, I would not disagree. Visualization, they say, is the best way to memorize. I have not seen or heard of the “memory palace” other than what you wrote here and maybe in passing on an infomercial one time or another (am I correct in understanding it as a visualization technique?) I can say that I believe in the power of any visualization that helps in understanding or even just remembering mathematical concepts. The difficulty is in finding the personal imagery that works. Only after much meditation have I ever found such imagery that works for me on any particular problem I am considering, but it would not be something I could translate in order to benefit the random person.

For propositional logic operations, you can remember their truth tables as follows:

Let 0 stand for falsity and 1 for truth. For the conjunction operation use the mnemonic of the minimum of two numbers. For the disjunction operation, use the mnemonic of the maximum of two numbers. For the truth table for the material conditional (x->y), you can use max(1-x, y). For negation you can use 1-x.

While some of the comments above have some validity, I can see you just needing to memorize some quick formulas. I do agree practice makes perfect. But what many of the memorizers AND Joshua Foer said is yes, they are tricks but they FORCE you to memorize things. And Foer goes on to say that they aren’t even really tricks. They are actually harder to do that just doing it, because you’re kind of setting up a safety net in your mind, and it often involved preparatory work.

Anthony Metivier is another memory “guru” who.. I guess.. throws out all forms of memorization stuff EXCEPT the “memory palace” (google it if need be). Though, while he focuses only on memory palaces, other systems like the Major Memory System, (where you associate the phonetic alphabet with numbers) make guest appearances.

http://www.magneticmemorymethod.com/mmmpodcast-episode-003-memorizing-mathematical-formulas/

https://litemind.com/major-system/

^^^^^More info here^^^^^

So, in Metivier’s mind, if you have this..

**notice vowels and w, h, y are ignored**

..you can associate formulas with words like:

C2 = CaN (You keep the c, ignore the a, use the n)

‘=’ becomes an image of something meaningful to you, he chooses to use a FLAG

A2 = yawN (again, since you’re ignoring the letters y, a, w, you can place them anywhere to make words)

‘+’ = this becomes another image of your choice- try using a cross, or hospital symbol

B2 = Maybe this is BuN, BaNe, etc.

Now, he went a slightly different (I believe more complicated) route. I simplified this for you if you’re new.

You now have images. You throw them into a story. And he would say “USE A MEMORY PALACE TOO!”

The idea would be you would walk through.. say.. your house and in your mind, you’re placing these items in your house, in order.

Anyone into memory techniques will say to use your own images, your own words, your own palaces. Do not expect to find any Website on memory palaces and have things mapped out for you. Things like the Major System and Peg System will suggest things for you but if they aren’t “sticky” TOSS THEM OUT.

Read more on building memory palaces and rules for doing so.

Other sources:

The Bible of Memory folks-

Google “The Memory Book” by Harry Lorayne

This one focuses on academics-

Super Memory Super Student by Harry Lorayne

- Negative solution to $x^2=2^x$
- Every harmonic function is the real part of a holomorphic function
- Quadratic reciprocity and proving a number is a primitive root
- What is a maximal abelian extension of a number field and what does its Galois group look like?
- How to analyze the time complexity $\Theta$ of this recurrence
- Cardinality of sets regarding
- $G_1/H\cong G_2\implies G_1\cong H\times G_2$?
- Image of unit ball dense under continuous map between banach spaces
- Quadrature formula on triangle
- Measurability of supremum over measurable set
- Why is the determinant defined in terms of permutations?
- Characterization of non-unique decimal expansions
- Mathematically rigorous text on classical electrodynamics.
- Nth derivative of $\tan^m x$
- Is there a step by step checklist to check if a multivariable limit exists and find its value?