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PHIL 120 Timed Exam 3 (PHIL 120) | 2025/2026 | 50+ Timed Logic Questions on Truth Tables, Validity, Symbolic Translation

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This document contains 50+ timed and graded exam questions with verified answers from PHIL 120 (Introduction to Logic) Exam 3 at the University of Illinois, prepared for the 2025/2026 academic year. Tailored for logic students, the questions are designed to assess core deductive reasoning skills under timed conditions, closely reflecting the structure of actual university-level logic exams. The exam includes topics such as: Symbolic translation of natural language sentences, involving logical operators like conjunction (·), disjunction (v), conditional (⊃), biconditional (≡), and negation (~) Evaluation of statement well-formedness (WFFs) and logical syntax Truth table construction for determining tautologies, contradictions, and logical equivalence Argument validity assessments, including analysis of form, truth-functional consistency, and logical consequence Operator identification and main connective selection in complex logical formulas Application of formal rules such as Modus Ponens, Modus Tollens, and Disjunctive Syllogism This resource is particularly useful for: Undergraduate philosophy or logic students preparing for final exams under timed conditions Students in mathematics, computer science, or law programs requiring formal logic proficiency Tutors and instructors building practice materials or test simulations GRE and LSAT candidates seeking rigorous logic problem sets By simulating exam constraints, this document helps build speed, accuracy, and confidence in solving logic problems—essential for success in PHIL 120 and related disciplines. Keywords: symbolic logic, truth tables, logical equivalence, argument validity, Modus Ponens, Modus Tollens, WFFs, logic operators, PHIL 120 timed exam, propositional logic, logical consequence, University of Illinois logic, conditional statements, disjunction, logic syntax

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PHIL 120
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PHIL 120

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PHIL 120 Timed Exam 3 2025/2026 Exam
Questions with 100% Correct Answers |
Latest Update



Sometimes a reasoning or argument is incomplete. It has a missing

premise or a missing conclusion. Is the following reasoning incomplete in

this way?

S1. The law does NOT expressly permit suicide

S2. ALL activities the law does NOT expressly permit ARE activities the law

forbids


(Source: Aristotle, Nicomachean Ethics.) - 🧠ANSWER ✔✔The missing

conclusion is: The law forbids suicide

,Sometimes a reasoning or argument is incomplete. It has a missing

premise or a missing conclusion. Is the following reasoning incomplete in

this way?

S1. Aristotle dedicated the second book of the Poetics to laughter

S2. IF Aristotle devotes a whole book to laughter THEN laughter must be

important

(Source: Umberto Eco, The Name of the Rose) - 🧠ANSWER

✔✔Statements S1 and S2 are both premises. The argument is missing a

conclusion.

Sometimes a reasoning or argument is incomplete. It has a missing

premise or a missing conclusion. Is the following reasoning incomplete in

this way?

S1.IF there is no empty space THEN everything is one solid mass


(Source: Lucretius, On the Nature of Things.) - 🧠ANSWER ✔✔Statement

S1 is a premise. The argument is missing a premise and a conclusion

Sometimes a reasoning or argument is incomplete. It has a missing

premise or a missing conclusion. Is the following reasoning incomplete in

this way?

,S1. IF quantitative data are as subject to cultural constraints as any other

aspect of science THEN they have no special claim on final truth

S2. I believe I have shown this (ie, that quantitative data are as subject to

cultural constraints as any other aspect of science).


(Source: Stephen Jay Gould, Mismeasure of Man.) - 🧠ANSWER ✔✔The

missing conclusion is: They quantitative data have no special claim on final

truth

Sometimes a reasoning or argument is incomplete. It has a missing

premise or a missing conclusion. Is the following reasoning incomplete in

this way?

S1. NO enthymemes ARE complete arguments

S2. (so) This argument IS NOT complete


(Source: Copi and Cohen, Introduction to Logic) - 🧠ANSWER ✔✔The

missing premise is: This argument IS an enthymeme

Sometimes a reasoning or argument is incomplete. It has a missing

premise or a missing conclusion. Is the following reasoning incomplete in

this way?

S1. No one has ever seen reasoning or intelligence but in a human figure

3
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, S2. (therefore) The gods must have a human figure

(Source: David Hume, Dialogies Concerning Natural Religion) - 🧠ANSWER

✔✔Statement S1 is a premise and S2 is a conclusion. The argument is

missing a premise.

Sometimes a reasoning or argument is incomplete. It has a missing

premise or a missing conclusion. Is the following reasoning incomplete in

this way?

S1. ALL love that is excessive ARE love that can harm the lover

S2. My love is excessive


(Source: Umberto Eco, The Name of the Rose) - 🧠ANSWER ✔✔The

missing conclusion is: My love that can harm me

Sometimes a reasoning or argument is incomplete. It has a missing

premise or a missing conclusion. Is the following reasoning incomplete in

this way?

S1. IF humanism were right in declaring that man is born to be happy

THEN Man is NOT born to die

S2. Man is born to die

S3. Humanism is NOT right in declaring that man is born to be happy

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Institución
PHIL 120
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PHIL 120

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