Afleveringen
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In this episode, I ramble on a bit about some of the parts of neural network mathematics, particularly activation functions and bias.
1. Activation Functions: https://en.wikipedia.org/wiki/Activation_function
I also talk about a book by Jeff Heaton, Introduction to the Math of Neural Networks. It's very short and simple but a nice fast read for a quick introduction to the topic. Check it out if you're interested: https://www.amazon.de/-/en/Jeff-Heaton-ebook/dp/B00845UQL6
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In this episode we discuss the conditional proposition or the conditional sentence
Topics:
1. What is If P, then Q. (conditional)
2. If P, then Q (definition, antecedent, consequent)
3. Truth Table for if P, then Q.
4. Thinking about and conceptualizing the conditional in terms of promises.
5. True & False Examples
6. The Converse
7. The Contrapositive
8. The Equivalence of if P, then Q <=> ~Q, then ~P.
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Zijn er afleveringen die ontbreken?
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In this episode I talk about
1. Logical Connectives: Conjunction, Disjunction, Negation.
2. Truth Tables
3. Examples of True and False well-formed formulas using conjunction, disjunction and negation.
4. Propositional forms.
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What is a Proposition?
A statement that can be true of false.
Examples:
sqrt(2) is irrational. 1+1=5 The tiger will become extinct before the Gorilla on the planet Earth. Socrates was left handed.Main Points:
Difficulty of establishing the actual (realworld) truth value is unimportant Some values can be immediately computed as T or F #1 or #2, others may take many years #3 or we may never know #4.Non-Proposition Examples:
Can you please pass me the Ketchup? x^2 = 49 This sentence is false.Main Points:
Interrogative statements are neither T nor F. #2 may be T or F depending on the value assigned to x. Neither T nor F - a paradox.Atomic Propositions - do not contain any other propositions - ex: It is raining.
Compound Propositions - are formed by combining logical connectives with atomic (simple) propositions - ex: I am drinking coffee and its raining outside.
