No-All Negative Pattern: Worksheet 6 - Intermediate-Advanced Practice No-All Negative Pattern INTERMEDIATE ADVANCED

Venn Diagram Method:
Step 1: "No pilots is a musicians" → Circles of pilots and musicians don't overlap
Step 2: "All musicians are artists" → Circle of musicians completely inside artists
Step 3: pilots is separate from musicians, but artists may overlap with pilots

Analytical Method (E + A = O*):
No pilots is a musicians (E) + All musicians are artists (A) = Some artists are not pilots (O*)

Verification:
✗ Conclusion I: "No pilots is a artists" - DOES NOT FOLLOW (artists circle is larger and can overlap with pilots)
✓ Conclusion II: "Some artists are not pilots" - FOLLOWS (the part of artists containing musicians doesn't contain pilots)

Answer: Only conclusion II follows

Venn Diagram Method:
Step 1: "No warm-blooded is a cold-blooded" → Circles of warm-blooded and cold-blooded don't overlap
Step 2: "All cold-blooded are carnivores" → Circle of cold-blooded completely inside carnivores
Step 3: warm-blooded is separate from cold-blooded, but carnivores may overlap with warm-blooded

Analytical Method (E + A = O*):
No warm-blooded is a cold-blooded (E) + All cold-blooded are carnivores (A) = Some carnivores are not warm-blooded (O*)

Verification:
✗ Conclusion I: "No warm-blooded is a carnivores" - DOES NOT FOLLOW (carnivores circle is larger and can overlap with warm-blooded)
✓ Conclusion II: "Some carnivores are not warm-blooded" - FOLLOWS (the part of carnivores containing cold-blooded doesn't contain warm-blooded)

Answer: Only conclusion II follows

Venn Diagram Method:
Step 1: "No appliances is a vehicles" → Circles of appliances and vehicles don't overlap
Step 2: "All vehicles are utensils" → Circle of vehicles completely inside utensils
Step 3: appliances is separate from vehicles, but utensils may overlap with appliances

Analytical Method (E + A = O*):
No appliances is a vehicles (E) + All vehicles are utensils (A) = Some utensils are not appliances (O*)

Verification:
✗ Conclusion I: "No appliances is a utensils" - DOES NOT FOLLOW (utensils circle is larger and can overlap with appliances)
✓ Conclusion II: "Some utensils are not appliances" - FOLLOWS (the part of utensils containing vehicles doesn't contain appliances)

Answer: Only conclusion II follows

Venn Diagram Method:
Step 1: "No beautiful is a durable" → Circles of beautiful and durable don't overlap
Step 2: "All durable are useful" → Circle of durable completely inside useful
Step 3: beautiful is separate from durable, but useful may overlap with beautiful

Analytical Method (E + A = O*):
No beautiful is a durable (E) + All durable are useful (A) = Some useful are not beautiful (O*)

Verification:
✗ Conclusion I: "No beautiful is a useful" - DOES NOT FOLLOW (useful circle is larger and can overlap with beautiful)
✓ Conclusion II: "Some useful are not beautiful" - FOLLOWS (the part of useful containing durable doesn't contain beautiful)

Answer: Only conclusion II follows

Venn Diagram Method:
Step 1: "No vehicles is a machines" → Circles of vehicles and machines don't overlap
Step 2: "All machines are equipment" → Circle of machines completely inside equipment
Step 3: vehicles is separate from machines, but equipment may overlap with vehicles

Analytical Method (E + A = O*):
No vehicles is a machines (E) + All machines are equipment (A) = Some equipment are not vehicles (O*)

Verification:
✗ Conclusion I: "No vehicles is a equipment" - DOES NOT FOLLOW (equipment circle is larger and can overlap with vehicles)
✓ Conclusion II: "Some equipment are not vehicles" - FOLLOWS (the part of equipment containing machines doesn't contain vehicles)

Answer: Only conclusion II follows

Venn Diagram Method:
Step 1: "No artists is a scientists" → Circles of artists and scientists don't overlap
Step 2: "All scientists are teachers" → Circle of scientists completely inside teachers
Step 3: artists is separate from scientists, but teachers may overlap with artists

Analytical Method (E + A = O*):
No artists is a scientists (E) + All scientists are teachers (A) = Some teachers are not artists (O*)

Verification:
✗ Conclusion I: "No artists is a teachers" - DOES NOT FOLLOW (teachers circle is larger and can overlap with artists)
✓ Conclusion II: "Some teachers are not artists" - FOLLOWS (the part of teachers containing scientists doesn't contain artists)

Answer: Only conclusion II follows

Venn Diagram Method:
Step 1: "No nurses is a accountants" → Circles of nurses and accountants don't overlap
Step 2: "All accountants are artists" → Circle of accountants completely inside artists
Step 3: nurses is separate from accountants, but artists may overlap with nurses

Analytical Method (E + A = O*):
No nurses is a accountants (E) + All accountants are artists (A) = Some artists are not nurses (O*)

Verification:
✗ Conclusion I: "No nurses is a artists" - DOES NOT FOLLOW (artists circle is larger and can overlap with nurses)
✓ Conclusion II: "Some artists are not nurses" - FOLLOWS (the part of artists containing accountants doesn't contain nurses)

Answer: Only conclusion II follows

Venn Diagram Method:
Step 1: "No reptiles is a mammals" → Circles of reptiles and mammals don't overlap
Step 2: "All mammals are wild" → Circle of mammals completely inside wild
Step 3: reptiles is separate from mammals, but wild may overlap with reptiles

Analytical Method (E + A = O*):
No reptiles is a mammals (E) + All mammals are wild (A) = Some wild are not reptiles (O*)

Verification:
✗ Conclusion I: "No reptiles is a wild" - DOES NOT FOLLOW (wild circle is larger and can overlap with reptiles)
✓ Conclusion II: "Some wild are not reptiles" - FOLLOWS (the part of wild containing mammals doesn't contain reptiles)

Answer: Only conclusion II follows

Venn Diagram Method:
Step 1: "No efficient is a accessible" → Circles of efficient and accessible don't overlap
Step 2: "All accessible are valuable" → Circle of accessible completely inside valuable
Step 3: efficient is separate from accessible, but valuable may overlap with efficient

Analytical Method (E + A = O*):
No efficient is a accessible (E) + All accessible are valuable (A) = Some valuable are not efficient (O*)

Verification:
✗ Conclusion I: "No efficient is a valuable" - DOES NOT FOLLOW (valuable circle is larger and can overlap with efficient)
✓ Conclusion II: "Some valuable are not efficient" - FOLLOWS (the part of valuable containing accessible doesn't contain efficient)

Answer: Only conclusion II follows

Venn Diagram Method:
Step 1: "No systems is a theories" → Circles of systems and theories don't overlap
Step 2: "All theories are ideas" → Circle of theories completely inside ideas
Step 3: systems is separate from theories, but ideas may overlap with systems

Analytical Method (E + A = O*):
No systems is a theories (E) + All theories are ideas (A) = Some ideas are not systems (O*)

Verification:
✗ Conclusion I: "No systems is a ideas" - DOES NOT FOLLOW (ideas circle is larger and can overlap with systems)
✓ Conclusion II: "Some ideas are not systems" - FOLLOWS (the part of ideas containing theories doesn't contain systems)

Answer: Only conclusion II follows

Venn Diagram Method:
Step 1: "No innovative is a sustainable" → Circles of innovative and sustainable don't overlap
Step 2: "All sustainable are useful" → Circle of sustainable completely inside useful
Step 3: innovative is separate from sustainable, but useful may overlap with innovative

Analytical Method (E + A = O*):
No innovative is a sustainable (E) + All sustainable are useful (A) = Some useful are not innovative (O*)

Verification:
✗ Conclusion I: "No innovative is a useful" - DOES NOT FOLLOW (useful circle is larger and can overlap with innovative)
✓ Conclusion II: "Some useful are not innovative" - FOLLOWS (the part of useful containing sustainable doesn't contain innovative)

Answer: Only conclusion II follows

Venn Diagram Method:
Step 1: "No pharmacists is a engineers" → Circles of pharmacists and engineers don't overlap
Step 2: "All engineers are teachers" → Circle of engineers completely inside teachers
Step 3: pharmacists is separate from engineers, but teachers may overlap with pharmacists

Analytical Method (E + A = O*):
No pharmacists is a engineers (E) + All engineers are teachers (A) = Some teachers are not pharmacists (O*)

Verification:
✗ Conclusion I: "No pharmacists is a teachers" - DOES NOT FOLLOW (teachers circle is larger and can overlap with pharmacists)
✓ Conclusion II: "Some teachers are not pharmacists" - FOLLOWS (the part of teachers containing engineers doesn't contain pharmacists)

Answer: Only conclusion II follows

Venn Diagram Method:
Step 1: "No warm-blooded is a reptiles" → Circles of warm-blooded and reptiles don't overlap
Step 2: "All reptiles are omnivores" → Circle of reptiles completely inside omnivores
Step 3: warm-blooded is separate from reptiles, but omnivores may overlap with warm-blooded

Analytical Method (E + A = O*):
No warm-blooded is a reptiles (E) + All reptiles are omnivores (A) = Some omnivores are not warm-blooded (O*)

Verification:
✗ Conclusion I: "No warm-blooded is a omnivores" - DOES NOT FOLLOW (omnivores circle is larger and can overlap with warm-blooded)
✓ Conclusion II: "Some omnivores are not warm-blooded" - FOLLOWS (the part of omnivores containing reptiles doesn't contain warm-blooded)

Answer: Only conclusion II follows

Venn Diagram Method:
Step 1: "No equipment is a utensils" → Circles of equipment and utensils don't overlap
Step 2: "All utensils are gadgets" → Circle of utensils completely inside gadgets
Step 3: equipment is separate from utensils, but gadgets may overlap with equipment

Analytical Method (E + A = O*):
No equipment is a utensils (E) + All utensils are gadgets (A) = Some gadgets are not equipment (O*)

Verification:
✗ Conclusion I: "No equipment is a gadgets" - DOES NOT FOLLOW (gadgets circle is larger and can overlap with equipment)
✓ Conclusion II: "Some gadgets are not equipment" - FOLLOWS (the part of gadgets containing utensils doesn't contain equipment)

Answer: Only conclusion II follows

Venn Diagram Method:
Step 1: "No pilots is a doctors" → Circles of pilots and doctors don't overlap
Step 2: "All doctors are nurses" → Circle of doctors completely inside nurses
Step 3: pilots is separate from doctors, but nurses may overlap with pilots

Analytical Method (E + A = O*):
No pilots is a doctors (E) + All doctors are nurses (A) = Some nurses are not pilots (O*)

Verification:
✗ Conclusion I: "No pilots is a nurses" - DOES NOT FOLLOW (nurses circle is larger and can overlap with pilots)
✓ Conclusion II: "Some nurses are not pilots" - FOLLOWS (the part of nurses containing doctors doesn't contain pilots)

Answer: Only conclusion II follows

Venn Diagram Method:
Step 1: "No appliances is a equipment" → Circles of appliances and equipment don't overlap
Step 2: "All equipment are instruments" → Circle of equipment completely inside instruments
Step 3: appliances is separate from equipment, but instruments may overlap with appliances

Analytical Method (E + A = O*):
No appliances is a equipment (E) + All equipment are instruments (A) = Some instruments are not appliances (O*)

Verification:
✗ Conclusion I: "No appliances is a instruments" - DOES NOT FOLLOW (instruments circle is larger and can overlap with appliances)
✓ Conclusion II: "Some instruments are not appliances" - FOLLOWS (the part of instruments containing equipment doesn't contain appliances)

Answer: Only conclusion II follows

Venn Diagram Method:
Step 1: "No structures is a methods" → Circles of structures and methods don't overlap
Step 2: "All methods are strategies" → Circle of methods completely inside strategies
Step 3: structures is separate from methods, but strategies may overlap with structures

Analytical Method (E + A = O*):
No structures is a methods (E) + All methods are strategies (A) = Some strategies are not structures (O*)

Verification:
✗ Conclusion I: "No structures is a strategies" - DOES NOT FOLLOW (strategies circle is larger and can overlap with structures)
✓ Conclusion II: "Some strategies are not structures" - FOLLOWS (the part of strategies containing methods doesn't contain structures)

Answer: Only conclusion II follows

Venn Diagram Method:
Step 1: "No invertebrates is a carnivores" → Circles of invertebrates and carnivores don't overlap
Step 2: "All carnivores are fish" → Circle of carnivores completely inside fish
Step 3: invertebrates is separate from carnivores, but fish may overlap with invertebrates

Analytical Method (E + A = O*):
No invertebrates is a carnivores (E) + All carnivores are fish (A) = Some fish are not invertebrates (O*)

Verification:
✗ Conclusion I: "No invertebrates is a fish" - DOES NOT FOLLOW (fish circle is larger and can overlap with invertebrates)
✓ Conclusion II: "Some fish are not invertebrates" - FOLLOWS (the part of fish containing carnivores doesn't contain invertebrates)

Answer: Only conclusion II follows

Venn Diagram Method:
Step 1: "No furniture is a vehicles" → Circles of furniture and vehicles don't overlap
Step 2: "All vehicles are tools" → Circle of vehicles completely inside tools
Step 3: furniture is separate from vehicles, but tools may overlap with furniture

Analytical Method (E + A = O*):
No furniture is a vehicles (E) + All vehicles are tools (A) = Some tools are not furniture (O*)

Verification:
✗ Conclusion I: "No furniture is a tools" - DOES NOT FOLLOW (tools circle is larger and can overlap with furniture)
✓ Conclusion II: "Some tools are not furniture" - FOLLOWS (the part of tools containing vehicles doesn't contain furniture)

Answer: Only conclusion II follows

Venn Diagram Method:
Step 1: "No wild is a carnivores" → Circles of wild and carnivores don't overlap
Step 2: "All carnivores are omnivores" → Circle of carnivores completely inside omnivores
Step 3: wild is separate from carnivores, but omnivores may overlap with wild

Analytical Method (E + A = O*):
No wild is a carnivores (E) + All carnivores are omnivores (A) = Some omnivores are not wild (O*)

Verification:
✗ Conclusion I: "No wild is a omnivores" - DOES NOT FOLLOW (omnivores circle is larger and can overlap with wild)
✓ Conclusion II: "Some omnivores are not wild" - FOLLOWS (the part of omnivores containing carnivores doesn't contain wild)

Answer: Only conclusion II follows