Logical Reasoning - Memory Anchors
Memory techniques dramatically improve recall by creating vivid mental connections that transform abstract logical concepts into memorable images, stories, and patterns. For CSE Professional grade students preparing for Philippine civil service exams, mastering logical reasoning requires not just understanding concepts but instantly recalling argument structures, diagram patterns, and problem-solving steps under exam pressure. By converting logical reasoning rules into unforgettable mnemonics, analogies, and micro-stories, you'll transform exam anxiety into confident recall.
Memory anchors
Deductive vs Inductive Reasoning
Memory aid
DIGS: Deductive Is General to Specific (like digging deep from broad earth to specific treasure), ISPS: Inductive is Specific to Probable general Statement (like collecting specific shells to probably say all shells are beautiful)
Why it works
The acronym creates a clear contrast between the two reasoning types, with the digging metaphor emphasizing the 'top-down' nature of deductive reasoning
Example usage
In the exam question 'All birds fly. Penguins are birds. Therefore penguins fly' - I remember DIGS and know this is deductive reasoning with a false premise
Recall trigger
When you see 'All' or 'Every' think DIGS (deductive), when you see 'Some' or 'Most' think ISPS (inductive)
Argument Structure (Premise + Conclusion)
Memory aid
An argument is like a house: PREMISES are the foundation blocks (supporting evidence) and the CONCLUSION is the roof (what's built on top). Just like you can't have a roof floating in air, you can't have a conclusion without premises supporting it.
Why it works
The house metaphor makes abstract argument structure concrete and visual, emphasizing the supportive relationship between premises and conclusions
Example usage
In 'Scientists are brilliant. Jet is a scientist. Therefore, Jet is brilliant' - I see two foundation blocks (premises) supporting the roof (conclusion)
Recall trigger
Whenever analyzing an argument, visualize building a house - identify the foundation blocks first
Categorical Syllogism Format
Memory aid
ABC Baby Categories: If A is B (major premise) and B is C (minor premise), then A is C (conclusion). Remember: A-B-C like learning the alphabet, with B as the 'Baby' in the middle connecting the family
Why it works
The familiar ABC sequence makes the syllogism structure easy to remember, with 'Baby' emphasizing B's connecting role
Example usage
For 'All dogs bark, Sparky is a dog, therefore Sparky barks' - I use ABC: A=Sparky, B=dog (baby connector), C=bark
Recall trigger
When seeing syllogism problems, mentally recite 'ABC Baby' and identify which term appears in both premises (the middle term)
Disjunctive Syllogism (Either/Or Logic)
Memory aid
Princess Either-Or lives in a castle with two doors - Magic Door B and Cursed Door C. The rule is she must choose ONE door, never both. When the guard announces 'Princess Either-Or chose Door B' everyone knows she did NOT choose Door C. This is disjunctive syllogism: eliminate one option to confirm the other.
Why it works
The story creates emotional engagement while the either/or choice mirrors the logical structure perfectly
Example usage
For 'The donut is either glazed or filled. The donut is not filled. Therefore, it's glazed' - I imagine Princess Either-Or rejecting the filled door, so she must choose glazed
Recall trigger
When you see 'either...or' problems, think of Princess Either-Or and her two exclusive doors
Conditional Syllogism (If-Then Logic)
Memory aid
The If-Then Chain: Visualize a golden chain where each link is connected. IF Link A is strong THEN Link B is strong. When you pull Link A, the force transfers to Link B. If Link B breaks, you know Link A wasn't pulled properly. The chain only works in one direction - forward!
Why it works
The chain metaphor shows how conditions flow in one direction and helps understand valid vs invalid inferences
Example usage
For 'If it rains, I carry umbrella. I'm carrying umbrella. Did it rain?' - I see the chain doesn't work backward, so this is invalid reasoning
Recall trigger
For if-then statements, visualize the golden chain and remember it only transmits force forward
Venn Diagram - All A are B
Memory aid
The Swimming Pool Model: Imagine Pool B (big pool) and Pool A (kiddie pool). When we say 'All A are B,' the kiddie pool A is completely INSIDE the big pool B. Every swimmer in kiddie pool A is also in big pool B, but big pool B has other areas too.
Why it works
The nested pools create a clear visual for the 'all A are B' relationship and why it's not reversible
Example usage
For 'All Filipinos are Asians' - I see the Philippines kiddie pool completely inside the Asia big pool
Recall trigger
For 'All' statements, visualize kiddie pool inside big pool
Venn Diagram - Some A are B
Memory aid
The Overlapping Islands Model: Islands A and B are separate but connected by a bridge (overlap area). 'Some A are B' means some people can walk across the bridge between islands, but each island also has areas the other can't reach.
Why it works
The island metaphor makes overlapping sets concrete and memorable, emphasizing partial relationships
Example usage
For 'Some women are doctors' - I see Woman Island and Doctor Island connected by a bridge where some people can cross
Recall trigger
For 'Some' statements, visualize two islands with a connecting bridge
Character Ordering/Ranking Problems
Memory aid
The School Line Method: Visualize students lining up in your old school hallway from shortest to tallest. Use familiar locations: Library (shortest), Principal's Office (middle), Gym (tallest). Place each character at their height position along this familiar hallway route.
Why it works
Using a familiar physical space leverages spatial memory, making character positions easier to recall and manipulate
Example usage
For age comparisons, I place youngest at Library end, oldest at Gym end, then arrange others along the hallway based on given clues
Recall trigger
When solving ordering problems, mentally walk through your school hallway placing characters by their relative positions
Valid vs Invalid Arguments
Memory aid
The Recipe Test: A VALID argument is like following a recipe correctly - if you have good ingredients (true premises) and follow the steps (logical structure), you get good food (true conclusion). An INVALID argument is like a bad recipe - even with good ingredients, the wrong steps give bad results.
Why it works
The cooking metaphor makes abstract logical validity concrete and relatable to everyday experience
Example usage
For 'All cats meow, Fluffy meows, therefore Fluffy is a cat' - I check the recipe steps and see the logic is flawed (invalid recipe)
Recall trigger
When evaluating arguments, ask 'Is this recipe logically sound?' to test validity
Assumption in Arguments
Memory aid
The Missing Bridge Story: Detective Assumption always looks for the missing bridge in arguments. When someone jumps from Premise Island to Conclusion Island, Detective Assumption asks 'What invisible bridge allowed that leap?' The assumption is the hidden bridge that makes the argument work.
Why it works
The detective story creates intrigue while the bridge metaphor clearly illustrates how assumptions connect premises to conclusions
Example usage
For 'Exercise increases happiness, so I should exercise' - Detective Assumption finds the hidden bridge: 'I want to be happy'
Recall trigger
When finding assumptions, become Detective Assumption searching for the missing bridge
Magic Square Rules
Memory aid
Magic Square, magic square, numbers dance with special care. Rows and columns, diagonals too, all must sum the same, it's true! No number twice in any line, makes the magic square divine!
Why it works
The rhythmic rhyme makes the multiple rules memorable through auditory processing and repetition
Example usage
When filling a magic square, I chant the rhyme to remember: same sum in all directions, no repeating numbers
Recall trigger
Before solving magic squares, recite the rhyme to remember all constraints
Sudoku Strategy
Memory aid
SCAN-ROW-SET: S-Scan for single possibilities, C-Check rows for missing numbers, A-Analyze columns for gaps, N-Note sets for completion, R-Repeat the process, O-Organize possibilities, W-Write confirmed numbers, S-Start elimination, E-End with verification, T-Test your solution
Why it works
The systematic acronym provides a step-by-step approach that prevents random guessing
Example usage
In a 4x4 Sudoku, I SCAN for boxes with only one possible number, then CHECK each row systematically
Recall trigger
Before starting any Sudoku, remember to SCAN-ROW-SET systematically
Flowchart Reading Strategy
Memory aid
The GPS Navigation Method: Reading a flowchart is like following GPS directions. START at the beginning point, FOLLOW the arrows like roads, STOP at decision diamonds (traffic lights) to check conditions, CHOOSE the correct path based on yes/no answers, and ARRIVE at the destination (conclusion).
Why it works
The familiar GPS metaphor makes abstract flowchart navigation concrete and systematic
Example usage
In Theena's transportation flowchart, I use GPS thinking: start point, check weather condition (traffic light), follow correct arrow based on yes/no
Recall trigger
When seeing flowcharts, activate GPS mode and follow the navigation rules
Ancient Language Pattern Recognition
Memory aid
WORD-REPEAT-PATTERN: W-Find Words that appear twice, O-Observe their positions, R-Recognize the sentence structure, D-Deduce meaning from placement, R-REPEAT this process, E-Eliminate impossibilities, P-Pattern match with known words, A-Assign meanings logically, T-Test your translation, T-Think critically about results, E-Establish the pattern, R-Review for consistency, N-Note the final answer
Why it works
The systematic approach prevents guessing and builds logical deduction skills through pattern recognition
Example usage
In 'Carthus Miu Nerzas' vs 'Farthas Miu Azdek', I find 'Miu' repeats, so I deduce its meaning from position patterns
Recall trigger
For ancient languages, think 'WORD-REPEAT-PATTERN' and follow the detective steps
Syllogism Terms (Major, Minor, Middle)
Memory aid
The Family Tree: MIDDLE term is the parent (appears in both premises but dies - disappears in conclusion), MAJOR term is the firstborn child (appears in conclusion as predicate), MINOR term is the youngest child (appears in conclusion as subject). Remember: Parent connects the children but doesn't appear in the family portrait (conclusion).
Why it works
The family relationship makes abstract term roles concrete and memorable through emotional connection
Example usage
In 'All dogs bark, Sparky is a dog, therefore Sparky barks' - dog is parent (middle), bark is firstborn (major), Sparky is youngest (minor)
Recall trigger
When identifying syllogism terms, visualize the family tree with parent connecting children
Truth vs Validity in Logic
Memory aid
The Theater Performance: VALIDITY is like perfect acting technique - the actor follows the script flawlessly even if the script is nonsense. TRUTH is like the script content - it matches reality. You can have brilliant acting (valid logic) with a fantasy script (false premises), or terrible acting (invalid logic) with a true story (true premises).
Why it works
The theater metaphor separates logical structure from content truth, preventing common student confusion
Example usage
For 'All birds fly, penguins are birds, therefore penguins fly' - the acting is perfect (valid structure) but the script is wrong (false premise)
Recall trigger
When evaluating arguments, think 'Is the acting good? Is the script true?' to separate validity from truth
Working Backwards Strategy
Memory aid
The Time Machine Detective: When solving working backwards problems, become a detective with a time machine. Start at the crime scene (final result), then travel backwards in time, undoing each action in reverse order. Addition becomes subtraction, multiplication becomes division, like rewinding a movie to find the beginning.
Why it works
The detective time machine creates engagement while the movie rewind metaphor makes mathematical reversal intuitive
Example usage
If someone ends with ₱1000 after buying items worth ₱300, I time-travel back: ₱1000 + ₱300 = starting money
Recall trigger
For working backwards problems, activate time machine detective mode and reverse all operations
Organized List Strategy
Memory aid
The Elimination Tournament Bracket: Create a tournament bracket where each possibility competes. Round 1: eliminate based on first constraint. Round 2: eliminate based on second constraint. Continue until only the champion (correct answer) remains. Like a sports tournament, systematic elimination finds the winner.
Why it works
The competitive bracket format makes systematic elimination engaging and prevents skipping steps
Example usage
Finding a two-digit number with digit sum 15, difference 1, divisible by 13: I create bracket with 69,78,87,96 and eliminate systematically
Recall trigger
For multiple constraint problems, draw an elimination tournament bracket
Making Diagram Strategy
Memory aid
The Barangay Map Method: Draw problems like creating a barangay map. Place each person/object at a house location, draw roads (relationships) between houses, mark distances and directions. Use familiar landmarks (school, church, market) as reference points. Walk through your barangay map to solve the problem.
Why it works
Using familiar Philippine barangay layout leverages spatial memory and cultural relevance
Example usage
For Gel and Lance walking opposite directions, I place them at the barangay center, draw roads east/west, mark their houses at walking distances
Recall trigger
For complex relationship problems, draw your barangay map with familiar landmarks
Pattern Recognition in Sequences
Memory aid
DRIP-FLOW: D-Determine the differences, R-Recognize patterns (repeating/increasing/alternating), I-Identify the rule, P-Predict next terms, F-Follow the pattern, L-Look for alternating operations, O-Observe number relationships, W-Write the next term
Why it works
The water flow metaphor (DRIP-FLOW) emphasizes continuous pattern analysis while providing systematic steps
Example usage
For sequence 2,4,7,11,16,22 - I find differences +2,+3,+4,+5,+6, so next difference is +7, making next term 29
Recall trigger
For sequence problems, think water DRIP-FLOW and follow each droplet
Revision game
I connect two premises but vanish in the conclusion, like a matchmaker who disappears after the wedding
Answer
Middle term in syllogism
Memory link
A15 - The Family Tree analogy
I'm either completely inside you or we just overlap - there's no in-between relationship
Answer
Venn diagram sets
Memory link
A6 and A7 - Swimming pools and islands
I work like a GPS but with diamonds that ask yes/no questions
Answer
Flowchart
Memory link
A13 - GPS Navigation Method
I'm a recipe that can work perfectly even with spoiled ingredients
Answer
Valid argument with false premises
Memory link
A9 - Recipe Test analogy
I'm the detective who always looks for missing bridges in conversations
Answer
Assumption
Memory link
A10 - Detective Assumption story
I make numbers dance in perfect rows, columns, and diagonals with the same total
Answer
Magic square
Memory link
A11 - Magic square rhyme
I'm like rewinding a movie to find how the story began
Answer
Working backwards strategy
Memory link
A17 - Time Machine Detective
I swim in two separate islands connected only by a small bridge
Answer
Some A are B relationship
Memory link
A7 - Overlapping Islands Model
Formula mnemonics
Magic Square Sum = n(n²+1)/2
Mnemonic
Nice Numbers Need Half: n times (n² + 1) divided by 2. Remember 'Nice Numbers Need Half' where each N represents an n in the formula
When to use
When calculating the target sum for any size magic square
What each part means
n = number of rows/columns, n² = total cells, +1 adds magic, ÷2 gives average
Sudoku Sum = 1+2+3+...+n = n(n+1)/2
Mnemonic
Students Need Half Plus: n times (n + 1) divided by 2. Each row, column, and set must sum to this number
When to use
When checking if Sudoku solutions are mathematically correct
What each part means
n = highest number in puzzle, (n+1) creates the series sum, ÷2 completes the formula
Distance = Speed × Time
Mnemonic
Dogs Sprint Today: D = S × T. Remember dogs sprinting for a time period covers distance
When to use
When solving movement problems in logical reasoning scenarios
What each part means
D = total distance covered, S = speed per unit time, T = time duration
Quick recall chains
Types of Logical Reasoning
Recall test
What type of reasoning goes from 'All birds fly' to 'This robin flies'?
Memory chain
DIA the Logic Princess: Deductive Diana goes from castle (general) to village (specific), Inductive Ian climbs from village (specific) to castle (general), Abductive Ana finds the best explanation for mysteries
Items to remember
- Deductive (General to Specific)
- Inductive (Specific to General)
- Abductive (Best Explanation)
Syllogism Types
Recall test
Which syllogism type uses 'If it rains, then I carry umbrella'?
Memory chain
CDC the Syllogism Squad: Categorical Cat sorts all/some, Disjunctive Dog chooses either/or, Conditional Carabao follows if/then chains
Items to remember
- Categorical (All/Some statements)
- Disjunctive (Either/Or)
- Conditional (If/Then)
Argument Components
Recall test
What provides the support in an argument?
Memory chain
PCA Bank Account: Premise deposits support, Conclusion is the balance, Assumption is the hidden interest that makes it work
Items to remember
- Premise (Supporting statement)
- Conclusion (Main claim)
- Assumption (Hidden premise)
Venn Diagram Relationships
Recall test
How do you draw 'All cats are mammals'?
Memory chain
ASN Swimming Lessons: All students jump inside the big pool, Some students overlap in shallow area, No students swim in the separate kiddie area
Items to remember
- All A are B (A inside B)
- Some A are B (A overlaps B)
- No A are B (A separate from B)
Problem Solving Strategies
Recall test
Which strategy works best for 'I ended with ₱500 after spending money' problems?
Memory chain
WOMP the Problem Solver: Working backwards like rewinding, Organizing lists like filing, Making diagrams like drawing maps, Pattern recognition like finding rhythms
Items to remember
- Working Backwards
- Organized List
- Making Diagrams
- Pattern Recognition
Diagrams
Logical Reasoning Overview
Comprehensive mind map showing all major logical reasoning concepts and their relationships
Logical Reasoning Problem-Solving Process
Step-by-step flowchart for approaching different types of logical reasoning problems
Deductive Reasoning Process
Shows how deductive reasoning flows from general principles to specific conclusions
Argument Validity States
State diagram showing how premises lead to different argument validity outcomes
CSE Logical Reasoning Question Types
Distribution of logical reasoning question types in CSE Professional exams