Activity for Quintec
Type | On... | Excerpt | Status | Date |
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A: Is Mathematical Induction truly "induction", or misnamed? Well there are many ways to look at this, but I would argue yes. To use your last screenshot: the cause is S(k), the effect is S(k+1), and it's up to you to fill in how you get from one to the other. (more) |
— | over 2 years ago |
Answer | — |
A: Can we add without using addition? You could use the Peano axioms instead to define addition - using the successor function, $$a + 0 = a $$ $$a + S(b) = S(a + b)$$ But I'd argue that this is not different - addition is defined this way to begin with... In my opinion the question makes no sense - addition is addition, you c... (more) |
— | over 2 years ago |
Answer | — |
A: What it ≡ called? Is congruent to This satisfies both usages you mentioned and is the most common way I pronounce it/hear it pronounced. $8 \equiv 3 \pmod{5} \to \text{8 is congruent to 3 mod 5 }$ $\triangle ABC \equiv \triangle DEF \to \text{Triangle ABC is congruent to Triangle DEF}$ Alternatively, "is... (more) |
— | over 2 years ago |
Answer | — |
A: After $n - 2$ unchosen doors are opened, how does the probability of the $n - 2$ unchosen doors "shift" or "transfer" to the lone unchosen door? This is the way of explaining it that works the best for me. Forget about the probabilities for a moment - after the host opens 98/100 doors, there are 2 doors left. Therefore, you either have selected a door with a goat or a door with a car. Now, if you have selected a goat, then switching will g... (more) |
— | over 2 years ago |