Enthymeme Hunt Slides Logic Architect | Session 01
The Enthymeme
Unmasking the hidden premises that hold our world together.
The Invisible Foundation
"We should ban that book because it's offensive."
What is being assumed here?
The Stated Steps
Premise: The book is offensive.
Conclusion: Ban the book.
The Missing Link
"Everything that is offensive should be banned."
Anatomy of an Enthymeme
What is it?
A syllogism in which one of the premises is unspoken or implied.
Why hide it?
It's common knowledge (too obvious to say).
It's controversial (hiding a weak link).
Efficiency (brevity in speech).
Syllogism - 1 = Enthymeme
"The skeleton of an argument without the skin."
Investigation: Social Media
We are going to analyze real-world comments to find the hidden premises. These are often where the logical errors are buried.
1
Capture
Identify the claim and the given reason.
2
Reveal
Write out the implied "If... then..." statement.
3
Test
Ask: Is that hidden premise actually true?
Practice Case: The Gym Bro
"You don't need to read books; you can just watch the movie version and get the same story faster."
Step 1: The Syllogism Components
Minor Premise: The movie is faster than the book.
Conclusion: You should watch the movie instead of reading.
Hidden Premise Found
"Speed is the most important factor in experiencing a story."
Is this true? Does this devalue the experience of reading?
Enthymeme Detective Worksheet Enthymeme Detective
LOGIC ARCHITECT // FILE 01.01
Agent Name:
Date:
Mission Objective
An enthymeme is an argument with a missing premise. Your job is to reconstruct the full logical chain by unmasking the hidden assumption. Once found, you must evaluate if that assumption is actually valid.
CASE 01
"He's a politician, so he must be lying."
Stated Premise (Minor)
He is a politician.
Conclusion
Therefore, he is lying.
Hidden Premise (Major)
Validity Check: Is this hidden premise always true?
CASE 02
"The team lost because their star player didn't play."
Stated Premise (Minor)
The star player didn't play.
Conclusion
Therefore, the team lost.
Hidden Premise (Major)
Validity Check: Why might this logic be flawed?
CASE 03
"You should get an iPhone; all your friends have one."
Stated Premise (Minor)
All your friends have an iPhone.
Conclusion
Therefore, you should get an iPhone.
Hidden Premise (Major)
Validity Check: What is the underlying assumption about 'fitting in'?
The Digital Sniffer
Find one argument from a social media comment section (YouTube, X, Instagram). Write the comment below and reconstruct the hidden premise.
Paste or write the comment here...
Premise 1
Hidden Premise
Conclusion
Deductive Blueprint Slides Logic Architect | Session 02
The Blueprint
Structuring your essay like a master architect of logic.
The House of Cards
Most essays are additive—you just pile on reasons until you hit a page limit.
"I like pizza because it's cheesy, it's round, and it has sauce."
In a Deductive Essay, your structure is Interdependent.
If you remove one premise (one paragraph), the conclusion must collapse.
The Syllogistic Outline
01
The Major Premise
Establish a broad, universally accepted truth or a conditional rule.
"All humans have a fundamental right to privacy."
02
The Minor Premise
Show how your specific topic fits into the major premise.
"Digital data collection is an intrusion into private life."
03
Necessary Conclusion
The only possible outcome if premises 1 and 2 are true.
"Therefore, digital data collection violates human rights."
Breaking the Mold
The Old Way
• Intro / Thesis
• Reason A
• Reason B
• Reason C
• Conclusion
The Logic Way
• Rule/Major Premise
• Evidence/Minor Premise
• Counter-Argument Test
• Refutation of Validity
• Necessary Conclusion
Design Your Chain
Open your Essay Blueprint Worksheet. You are going to map out an argument where every paragraph is a load-bearing wall.
Goal: If I delete one section, your thesis must fail.
Essay Blueprint Organizer Essay Blueprint
LOGIC ARCHITECT // FILE 02.01
Lead Architect:
Project Date:
The Deductive Structure
Instead of listing random reasons, your essay will follow a strict logical path. If your premises are solid, your conclusion becomes undeniable.
01
Major Premise (The General Rule)
Paragraph 1
Establish a broad principle or conditional "If P, then Q" statement that your audience will accept as true.
02
Minor Premise (The Specific Case)
Paragraph 2
Show how your specific topic (case) fits into the category or condition established in Step 01.
Structural Support (Evidence)
Paragraphs 3-4
Provide concrete data, quotes, or examples that prove your Minor Premise is factually true.
Evidence A
Evidence B
03
Necessary Conclusion
Closing
The "Therefore" statement. This should flow inevitably from Step 01 and Step 02.
Is Premise 1 truly a general rule?
Is the conclusion the ONLY possible outcome?
Is the evidence specifically linked to Premise 2?
Logical Forms Slides Logic Architect | Session 03
The Valid Forms
Mastering Modus Ponens and Modus Tollens to drive your prose.
The Conditional Chain
IF / THEN
"If the sun explodes, then the Earth will freeze."
Two ways this story becomes inevitable:
Scenario A
The sun just exploded. Therefore...
Scenario B
The Earth is NOT freezing. Therefore...
Modus Ponens
\[ P \rightarrow Q \]
\[ P \]
\[ \therefore Q \]
If you prove the condition (P) is met, then the result (Q) is unavoidable.
In Argumentative Writing:
"If a city implements protected bike lanes, traffic fatalities decrease. Our city just finished its first lane; we are now on the path to a safer future."
Modus Tollens
In Argumentative Writing:
"If the candidate was honest about their taxes, they would have released the returns. They haven't released them. Therefore, they are not being honest."
\[ P \rightarrow Q \]
\[ \neg Q \]
\[ \therefore \neg P \]
If the result (Q) is absent, then the condition (P) must never have happened.
Structural Failures
Just because the sentence sounds smart doesn't mean the logic holds.
Affirming the Consequent
"If it rains, the grass is wet. The grass is wet, so it must have rained."
False: The sprinkler could be on!
Denying the Antecedent
"If you work hard, you'll succeed. You didn't work hard, so you won't succeed."
False: You could just be lucky!
Conditional Chain Worksheet Conditional Chains
LOGIC ARCHITECT // FILE 03.01
Student:
Date:
Activity: The Inevitable Ending
Write a story where each sentence is a conditional statement. The consequent (Q) of one sentence must become the antecedent (P) of the next.
1
If P, then Q (Example)
If you forget to set your alarm, then you will wake up late.
2
If [Previous Q], then [New Q]
3
If [Previous Q], then [New Q]
4
Final Conclusion (Therefore...)
Modus Ponens & Tollens Practice
Choose one of the topics below and write a short paragraph that uses either Modus Ponens (Affirming P) or Modus Tollens (Denying Q) to reach a conclusion.
Topic A: Social Media AI Topic B: School Start Times Topic C: Renewable Energy
Selected Logical Form
Modus Ponens
Modus Tollens
Your Logical Paragraph:
Self-Audit Checklist
Did I start with a clear "If P, then Q" conditional statement?
Did I clearly affirm P (Ponens) or deny Q (Tollens)?
Does my final sentence use a transition like "Therefore"?
WARNING: Did I avoid "Affirming the Consequent"?
Reference Form:
MP: If P then Q; P; Therefore Q.
Logic Audit Worksheet Logic Audit
LOGIC ARCHITECT // FILE 04.01
Reviewer:
Author:
The Validity Check
Your goal today is not to fix grammar or style. You are an integrity inspector. You must determine if the author's conclusion must be true based on their premises.
Phase 1: The Formal Map
P1: Major Premise (General Rule / Conditional)
P2: Minor Premise (Specific Case / Fact)
∴ C: Necessary Conclusion
Phase 2: Premise Pressure Test
Test P1: Acceptability
Would a reasonable audience accept this general rule as true? Note any counter-evidence below.
Test P2: Accuracy
Does the essay provide concrete evidence to prove this specific case is true?
Phase 3: The Verdict
VALID
INVALID
Identification of Logic Form or Fallacy:
Danger Zone
Devil's Advocate Challenge
Accept all premises as true. Can you think of ANY scenario where the conclusion would still be false?
Peer Review Protocol Slides Logic Architect | Session 04
The Validity Check
Turning the logic lens on our own blueprints.
The "Logic Only" Zone
Ignore This:
Spelling & Grammar
Tone & "Voice"
Word Choice
Introduction Hook
Focus Here:
Premise Validity
Structural Necessity
Hidden Assumptions
Deductive Proof
How to Symbolize
Before you give feedback, you must translate their prose into Standard Form.
Look for indicators:
• "Since..." or "Given that..." (Premise)
• "If..." (Condition)
• "Therefore..." or "It follows that..." (Conclusion)
P1: Rules / Laws / Major Claims
P2: Specific Facts / Minor Claims
∴ C: The inevitable outcome
If you can't symbolize it, the logic is missing.
The Advocate's Duty
"Assume the author is right about the premises. Now, try to find a universe where they are still wrong about the conclusion."
Step 1: Accept
Grant P1 and P2 as 100% true for the sake of argument.
Step 2: Break
Invent a counter-example that fulfills P1 and P2 but negates C.
Reviewer Mission
1
Complete the Logic Audit Worksheet for your partner.
2
Identify one hidden premise they didn't state.
3
Verify if their form is Modus Ponens or Modus Tollens .
Logical Defense Slides Logic Architect | Final Phase
The Defense
Standing your ground in the crucible of formal logic.
Welcome to the Tank
"We don't care about your style. We don't care about your feelings. We only care about your chain of reasoning."
— The Logic Panel
The panel will attack your argument in two ways:
Premise Nullification: They will try to prove your "Major" or "Minor" premises are false.Validity Break: They will try to prove your conclusion doesn't actually follow from those premises.
The Presentation Protocol
Phase 1: Reveal
Display your argument in Standard Form (P1, P2, ∴ C). You have 60 seconds to explain the link.
Phase 2: Interrogation
The Panel will ask 3 "Pressure Questions." You must defend the acceptability of your premises.
Phase 3: Verdict
The Panel votes: Valid & Sound , Valid but Unsound , or Invalid .
Your Slide Template
P1:
[Insert Major Premise / Conditional Rule]
P2:
[Insert Minor Premise / Specific Evidence Case]
∴ C:
[Insert Final Argument Conclusion]
Logical Form: [e.g. Modus Ponens] Key Support: [e.g. Statistical Data / Expert Testimony]
Victory Conditions
Structural Necessity (Conclusion must follow)
Premise Fortification (Premises are backed by facts)
Real-time Recalibration (Response to the Panel)
Zero Rhetorical Padding (Logic only!)
Logical Defense Rubric Defense Rubric
LOGIC ARCHITECT // FILE 05.02
Summative Assessment Guide
The Logic Panel Evaluation
Students are assessed on their ability to maintain a valid deductive chain under questioning. Rhetorical flair, emotional appeals, and "flowery" language are explicitly excluded from the score. The focus is purely on structural integrity and premise acceptability.
Criterion Mastery (4) Proficient (3) Developing (2-1) Structural Validity Does the conclusion necessarily follow from the premises?
| Argument follows a recognized valid form (MP, MT, or Syllogism) with no formal fallacies. Conclusion is inevitable. | Argument is largely valid, though minor phrasing issues slightly obscure the formal link between P and C. | Conclusion does not follow (Invalid). Student commits "Affirming the Consequent" or "Denying the Antecedent." |
| Premise Fortification
Are premises backed by evidence or logical necessity?
| Both P1 and P2 are successfully defended with data or established axioms. Hidden premises are exposed and justified. | Premises are generally acceptable, though one lacks robust evidentiary support under questioning. | Premises are purely anecdotal, circular, or based on unstated, controversial assumptions. |
| Responsive Defense
Can the student handle "Devil's Advocate" questions?
| Accurately identifies the logical category of the panel's question and defends without resorting to rhetorical diversion. | Addresses panel questions directly, though defense relies occasionally on repeating the conclusion rather than premises. | Becomes defensive or uses rhetorical "fluff" to avoid direct logical challenges. Fails to bridge P and C. |
| Standard Form Accuracy
Is the visual argument clear and correctly symbolized?
| Visual display is perfectly symbolized. P1, P2, and C are clearly differentiated and properly sequenced. | Visual display is clear, though phrasing in Standard Form is slightly wordy or overlaps between premises. | Standard Form is missing, incomplete, or fails to represent the actual spoken argument. |
Panel Question Stems
"Granting that P1 is true, why must we accept P2 as the only case?"
"Can you provide a world where P1 and P2 hold, but C is false?"
"Identify the hidden premise you are using to bridge P2 to C."
"Are you affirming the antecedent or simply the consequent?"
Final Verdict
Sound & Valid (A)
