Sequencing the genes of humans is important because
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A loss of function of Apaf1, the human homologue of ced-4 in…
A loss of function of Apaf1, the human homologue of ced-4 in nematodes, is most likely to result in which of the following?
A rise in extracellular glucose results in which of the foll…
A rise in extracellular glucose results in which of the following changes at the lac operon?
Consider the following Van Euler Diagram: Which of the ind…
Consider the following Van Euler Diagram: Which of the individuals in the Van Euler Diagram represents a counter example to the argument: 1. All C’s are B’s 2. Some A’s are C’s Therefore, 3. All A’s are B’s
Background: While SL cannot demonstrate the validity or inv…
Background: While SL cannot demonstrate the validity or invalidity of categorical arguments, we can use our deduction system. The fix requires changing the unit of analysis: shifting the atomic units of our language from full statements to parts of statements — namely, subjects and predicates. When we say something like “Max is a dog,” we identify a subject (max) and assign that subject a predicate (is a dog, or belongs to the class “Dogs”). So, another way of representing “Max is a dog” is with the formal expression: ISDOG{max}. Notice, that “ISDOG” is capable of taking any number of subjects — all subjects that are, in fact, dogs. So, if our UD (“universe of discourse”) contains exactly 3 dogs, our predicate ISDOG could be represented by a set like: {max, rover, sparky}. In that case, ISDOG{max}, ISDOG{rover}, and ISDOG{sparky} would be TRUE, and all other ISDOG{x} would be FALSE. Notice also, that a subject paired with a definite (“bound”) Predicate ALWAYS EXPRESSES A STATEMENT — ALWAYS EXPRESSES SOMETHING THAT IS EITHER TRUE OR FALSE. In that way, every Predicate{subject} assignment is like an atomic sentence letter in SL. So, let’s take the argument that gives SL fits: “Socrates is a man, and all men are mortal. Therefore, Socrates is mortal.” Using our new Predicate Logic, we can represent this argument as: 1. ISMAN{Socrates} 2. ALLx: ISMAN{x} -> ISMORTAL{x} __________ 3. ISMORTAL{Socrates} By changing the unit of analysis from FULL STATEMENTS to PARTS OF STATEMENTS. we are thus able to represent this obviously valid argument using our formal, logical notation. To prove the argument valid, we need add only 1 simple rule to our Natural Deduction system: Universal Elimination: if ALL A’s are B’s (for all x, Ax -> Bx), then if x is an A (Ax), x must also be a B (Bx). TASK: 1. Translate the following NL argument into our new Predicate Logic (5 pts) 2. Demonstrate the validity of that argument using our Natural Deduction system (10 pts) “Everything here is either a cat or dog. Spots is not a dog, so Spots must be a cat.”
1. Translate the following natural language argument into st…
1. Translate the following natural language argument into standard syllogistic form (i.e., with statements like “All A’s are B’s, etc.” with clear and consistent assignment of letters to classes) 2. State whether the argument is valid (i.e., if it conforms to a “perfect” syllogism) or invalid (i.e., if it does not) “It never rains on a sunny day in San Diego, and every San Diego July 4th is beautifully sunny. You can’t deny: rain never ruins a San Diego Independence Day!”
Consider the following Van Euler Diagram: A. Write a Nat…
Consider the following Van Euler Diagram: A. Write a Natural Language argument that accurately represents the Van Euler Diagram B. Provide a natural language translation of the argument standardized in A.
Select every statement which accurately reflects the informa…
Select every statement which accurately reflects the information conveyed by the Van Euler diagram above
The Van Euler diagram above demonstrates the validity of t…
The Van Euler diagram above demonstrates the validity of the following argument: “Everything sold at Dad’s shop is high quality, and Dad stocks at least a few pairs of running socks. Therefore, some running socks are high quality items.”
The Van Euler diagram above demonstrates the validity of t…
The Van Euler diagram above demonstrates the validity of the following argument: “All interstate crimes are under the jurisdiction of the federal government, and all instances are arbitrage are interstate crimes. It follows, then, that all instances of arbitrage are under the jurisdiction of the federal government.”