Analytical vs Elastic Thinking, Fallacies, and Slippery Slopes – Comprehensive Class Notes
Dual Modes of Thinking
Human cognition can be arrayed on a spectrum with two poles:
Analytical / Rule-Based Thinking
Requires inhibition of impulses, emotions, and irrelevant associations.
Relies on explicit premises and logical rules to move from A \to B \to C.
Valued by schools, standardized tests, corporations, security agencies.
Creative / Divergent / Elastic Thinking
Requires dis-inhibition (suspending or dropping assumptions, norms and constraints).
Generates, breaks, or rewrites rules; “thinks outside the box.”
Produces reframing, novel connections, innovative solutions.
Neuroscientific evidence supports the link: inhibition ↔ analytic; dis-inhibition ↔ creative.
Because the two modes demand opposite neural control settings, it is rare to find extreme levels of both in a single individual.
Implications for Teams, Art & Industry
Deep-Level Diversity
Teams should mix people with different thinking styles, not merely demographic differences.
Optimal performance on complex tasks = combine high analytic thinkers with high elastic thinkers.
Great Novels & Large-Scale Art
Example: “War and Peace.”
A novelist must be both highly creative and highly organized—hence why masterpieces are rare.
Corporate Survival
Kodak, Blockbuster, etc. failed because they did not engage in elastic thinking while markets shifted.
Terminology History for “99-Problem” Thinking
1960-80s: “Divergent Thinking.”
1980-2000s: “Creative Thinking” or “Insight Problem Solving.”
2010s-present: “Elastic Thinking.”
Vladislav “Vlad” Prusakov on Elastic Thinking (video clip)
Society’s change rate is now exponential:
Total websites double every 18 \text{ months}.
Text messages double every 30 \text{ months}.
Biological information processing spans a continuum from analytic to elastic.
Three highlighted features of elastic thinking:
Reframing Questions – the wording dictates solutions.
Questioning Hidden Assumptions – e.g., Marsha & Marjorie puzzle → answer: triplets.
Rule Generation/Destruction – inventing new rule sets when old ones fail.
Security & National Defense
Terrorist and non-state actors must think elastically (they lack conventional might).
9/11 Commission Report cited four failures; primary = failure of imagination (could not envision planes as missiles).
Economic asymmetry: 9/11 cost roughly 5 \times 10^{5} dollars yet produced \$\text{billions} in damage and two wars.
“Two Ways to Be Smart”
\text{Smart}{\text{analytic}} vs \text{Smart}{\text{elastic}}
Extreme competence in both usually requires multiple people → design teams, cabinets, corporate boards, etc.
Logic, Cognitive Control & Fallacies
Cognitive control = brain’s “executive” that enables inhibition / rule following.
Logic is merely the surface expression of cognitive control, not the entirety of good thinking.
Formal Logical Fallacies
Can be diagnosed purely by form.
Example (affirming the consequent):
“If glipsy then wookie. Wookie, therefore glipsy.”
Recognizable as invalid without knowing Albanian vocabulary.
Informal Logical Fallacies
Substance/content dependent; need context.
Straw-Person – misrepresent opponent’s position (weakest or exaggerated) then refute it.
Ad Hominem – attack the person’s character/credentials instead of the argument.
Slippery Slope – assert, with little evidence, that one step is bound to trigger catastrophic cascade.
Comprehensive public list: Texas State University Dept. of Philosophy “Informal Fallacies” page (linked in syllabus).
Instructor-Provided Slippery-Slope Examples
19th-century claim: admitting women to university ⇒ women incapable of childbirth ⇒ humanity ends.
Affordable Care Act debate: medical quotas ⇒ “death panels” killing the elderly.
Student-Contributed Examples During Discussion
Academic Catastrophe: one bad exam ⇒ fail class ⇒ no college ⇒ no job ⇒ lifelong poverty.
Cold War Domino Theory: lose Vietnam ⇒ Laos/Cambodia ⇒ global communism.
Legalization Fears: gay marriage or marijuana in one state ⇒ entire world adopts it.
“Follow Your Passion”: any practical career choice ⇒ misery forever.
Pop-Culture Illustrations of Fallacies
The Simpsons clip: “Today he’s drinking blood; tomorrow he could be smoking.” → classic slippery slope.
The Onion parody newscast: survey claims children oppose health care; legislators defund children’s hospitals.
Course Logistics & Forward Plan
Next Thursday = asynchronous.
Tasks: view prerecorded mini-lectures on probability (instructor + Prof. Barbara Mellers).
Meet with assigned partner for ≥30 min discussion.
Following Tuesday: live session on probability assumes videos watched.
Practical “Pearls of Wisdom” Recalled by Instructor
Dating: start high, work down until someone accepts you.
Sharks: “Life is unfair… if you’re a shark.”
New: “Children really, really don’t want health care.”
Closing Off-Topic Conversation Captured in Transcript
Instructor toggles smart lights via Alexa commands (“Sage’s lights on/off”).
Casual chat about a fishing video game with Smurf reward, feeding a baby, and playful banter about responsible parenting.
Numerical & Statistical References (All Rendered in LaTeX)
\begin{aligned}
&9{,}000{,}000 && \text{Uninsured U.S. children (policy debate example)}\[6pt]
&\text{Websites doubling period} &&\approx 18\;\text{months}\[6pt]
&\text{Text messages doubling period} &&\approx 30\;\text{months}\[6pt]
&\text{Cost of 9/11 attacks} &&\approx 5\times10^{5}\;\text{USD}\[6pt]
&\text{Children's hospitals proposed to be closed} &&9{,}000\
\end{aligned}
Key Take-Aways
Extreme creativity and extreme analytic rigor are neurologically and behaviorally opposites; combine people, not brains.
Elastic thinking is indispensable in rapidly changing, high-uncertainty environments (business, security, personal life).
Logic ≠ entire intelligence; knowing and spotting informal fallacies is crucial for real-world reasoning.
Be wary of slippery-slope rhetoric; demand evidence for each causal step.
And, of course, remember: kids allegedly hate health care (according to satirical news).