## Logic

**Syllabus & ****Schedule**

**PHIL 10 – FALL 2019 – 47321- ****Fri 1:30 – 4:20 pm – BCC ****Room ****14**

**Instructor: Eric Gerlach – ***ericgerlach@gmail.com*

**Course Description***: Consideration of logical problems of language: Deduction and induction, fallacies, theory of argument and the scientific method, and study of correct reasoning in Aristotelian and modern logic.*

**Office Hours**: Friday 11:30 – 1:15 pm @ K’s Coffee, next to BCC

**Texts**: The readings are posted at the top of each set of lecture notes.

**Assignments**: Problem sets will be posted at the end of each set of lecture notes, to be completed before the next lecture is given, typed and emailed to **ericgerlach@gmail.com**.

Aug 23 we begin with an **introduction to the history of logic**, Aug 30 we cover **speaking & thinking**, and then cover logic of the ancient world for several weeks, on Sep 6 **Indian Logic & Gautama**, Sep 13 **Greek Logic & Aristotle**, and Sep 20 **Chinese logic & Hui Shi**.

We move between ancient and modern times on Sep 27 with **Islam & Avicenna** , and then on Oct 4 we cover early **Europe and Aquinas** and introduce formal connectives with basic truth tables.

We then move to early modern times, Oct 11 **Kant & Hegel**, Oct 18th **Edgar Allan Poe & Dupin**, Oct 25 **Mill, De Morgan & Boole**, Nov 1 **Lewis Carroll & Alice’s adventures**, Nov 8 **Venn & Peano**, Nov 15 **Frege & Russell**, and Nov 22 **Wittgenstein**.

We have **no class** on Nov 29 for Thanksgiving, then Dec 6 our final lecture on **Logical Fallacies**. Dec 13 we have **no class**, with all work for the class, each assignment posted at the end of the sets of lecture notes, by Sunday night, Dec 15th.

**Please email answers to the following questions for each assignment to me at ericgerlach@gmail.com.**

*First Assignment: Write at least one typed, double-spaced page about your thoughts on logic. Are there things everyone can agree to or should? Can you give examples? What principles of good reasoning are there, and are these basic to the mind or learned through culture?*

**Second Assignment:**

**A) Describe four examples, a thought that doesn’t use sensations (sights, sounds, etc.), that doesn’t use emotions, that doesn’t involve memories, and that doesn’t use words. Explain your examples.**

**B) Describe an example of inclusive OR, exclusive OR, inclusive AND and exclusive AND, and explain your examples.**

**C) Describe an example where we could use either inclusive OR or inclusive AND, and explain your examples.**

**Third Assignment:**

**1) Give an example of each of the Jain skeptical principles and explain your example.**

**2) Give an example of Gautama’s syllogistic form of proof, and explain your example.**

**3) Give an example of sharing the fault and three types of quibbling and explain your examples.**

**Fourth Assignment:**

**A) Create four statements that form a set, one for each of the four corners of the Square of Opposition, such as, for the first corner, All cows have horns, but use your own example. Which two pairs contradict one another?**

**B) Create an example of a Barbara, Celarent, Darii and Ferio syllogism of your own.**

**Fifth Assignment:**

**1) Explain each of the two cases of the negation truth table, saying which is true or false and why, using your own examples.**

**2) Explain each of the two cases of the double negation truth table.**

**3) Explain each of the four cases of the disjunction truth table.**

**4) Explain each of the four cases of the conditional truth table.**

**5) Explain each of the four cases of the biconditional truth table.**

*Sixth Assignment: For each of the following sentences, symbolize the sentence in Sentential Logic using A, B, and logical connectives, and then evaluate the sentence using the truth table method, giving the four truth values that are your final answer. **You do not need to turn in the truth table you draw but you can.*

*For example, if the sentence is “I have an apple and a banana,” then you would symbolize the sentence as A ^ B, and include TFFF as the final truth values.*

*This first complex set of truth tables does not need parentheses, as these deal with negations of A and B, such as ~A^B, but not negations of combinations of A and B, such as ~(~A^B).*

*1) I do not have an apple and I have a banana.*

*2) I have an apple and I do not have a banana.*

*3) I do not have an apple or I have a banana*

*4) I have an apple or I do not have a banana*

*5) **If I do not have an apple, I have a banana.*

*6) If have an apple, I do not have a banana.*

**Seventh Assignment: Determine the final four truth values for each expression. **

**1) ~(A v B)**

**2) ~A ^ ~B**

**3) De Morgan’s A: ~ (A v B) <> (~ A ^ ~ B)**

**4) ~(A ^ B)**

**5) ~A v ~B**

**6) De Morgan’s B: ~ (A ^ B) <> (~ A v ~ B)**

**Eighth Assignment: ***On a piece of paper construct a truth table that proves biconditional expressions for Commutativity, the Material Conditional, Modus Tollens, the Hypothetical Syllogism and the Dilemma. Send me the four truth values for each biconditional expression.*

**General Student Requirements: **Students are expected to come to class prepared to ask questions and participate in discussions. All readings and assignments should be completed by the beginning of class on the day they are listed here. This class is run as a lecture/discussion course. Students are responsible for all class material (even if they miss class). If you miss class, it is strongly advised that you ask a classmate for notes. It is your responsibility to ask if you missed something; it is not the instructor’s responsibility to remind you. Please read through the syllabus and plan ahead.

**Plagiarism** will not be tolerated. Plagiarists, intentional or inadvertent, will receive a zero on the assignment in question; repeat offenders will get an F for the course and will be subject to college disciplinary action. Students are encouraged to review plagiarism policies in the current Vista College catalog. Attendance is mandatory. If you miss more than five classes, you will receive an F in the course. (Note: I do not distinguish between “excused” and “unexcused” absences; if you miss more than five classes, for any reason, you cannot pass the class.)

**Disabled Student Program and Services (DSPS)** are provided for any enrolled student who has a verified disability that creates an educational limitation that prevents the student from fully benefiting from classes without additional support services or instruction. Please let the instructor know if you require any support services or would like more information about DSPS.

**This syllabus is subject to change at the discretion of the instructor. Any changes will be announced in class. Additional handouts of required readings may also be added.**

**Truth Table Assignment Answers**

**Fifth Assignment:**

**1) The first case is false, because if I have an apple, the statement, I don’t have an apple is false. The second case is true, because if I don’t have an apple, I don’t have an apple is true.**

**2) The first case is true, because if I have an apple, the statement It isn’t that I don’t have an apple is true. The second case is false, because if I don’t have an apple, It isn’t that I don’t have an apple is false.**

**3) The first case is true, because if I have an apple and a banana, the **

**Explain each of the four cases of the disjunction truth table.**

**4) Explain each of the four cases of the conditional truth table.**

**5) Explain each of the four cases of the biconditional truth table.**

*Sixth Assignment: *

*1) FFTF **2) FTFF 3) TFTT 4) TTFT 5) TTTF 6) FTTT*

**Seventh Assignment: Determine the final four truth values for each expression. **

**1) FFFT ****2) FFFT 3) TTTT 4) FTTT 5) FTTT 6) TTTT**

**Eighth Assignment: All equivalent expressions that are biconditional should result in TTTT, of course. It doesn’t take drawing out the truth tables to know it beforehand.**