Please construct an argument in English and translate it into symbolic notation,

Question

Please construct an argument in English and translate it into symbolic notation, using the various translation conventions outlined in Chapter 6 of Patrick Hurley’s A Concise Introduction to Logic. Please use following topics for your argument: general education in the universities.

Details of the Assignment: Please state the argument in English first. Then, provide a complete translation dictionary for the statement letters you use. Third, write out the argument in symbolic notation. Fourth, your argument must be valid and must not commit any fallacy. Fifth, show that the argument is valid via the indirect method of truth tables, given in Hurley’s Section 6.5.

Your argument must contain at least two (2) premises and, at most, one (1) conclusion. You must make use of at least two (2) different logical symbols, i.e., the tilde (negation), the wedge (disjunction), the ampersand (conjunction), the arrow (conditional), the double arrow (biconditional). The conclusion must not be logically true and the set of premises must not commit a contradiction.

Please show your translations and your truth table. Please be as clear as possible about what you are trying to tell/show me.

Explanation / Answer

Argument in English :

The universities are important part of education. the following arguments can be made .

1. Education in all Universties are good

2. No Universities education is Good

3. Some universty education is good

4. Not all Universities education is good

5. SomeUniversity education is not good.

LOGICS :

1. x (Ux Gx )

2. ¬x (Ux Gx ).; It is same as x (Ux ¬Gx ).

3. x (Ux Gx )

4. ¬x (Ux Gx ).

5. x (Ux ¬Gx )

U is for universities education , G is for good .

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