Three Statement Standard: Worksheet 6 - Intermediate-Advanced Practice Three Statement Standard INTERMEDIATE ADVANCED

Step-by-Step Analysis:

Statement 1: All beautiful are rare → beautiful inside rare
Statement 2: Some rare are essential → rare and essential overlap
Statement 3: No essential is a reliable → essential and reliable separate

Checking Conclusions:

✗ Conclusion I: "Some beautiful are not reliable"
Cannot determine relationship between beautiful and reliable - NOT PROVEN

✓ Conclusion II: "Some rare are not reliable"
Some rare are essential (given) + No essential is reliable (given)
Those rare which are essential cannot be reliable - FOLLOWS

✓ Conclusion III: "No reliable is a essential"
Conversion of "No essential is a reliable" - FOLLOWS

Answer: Conclusions II and III follow

Step-by-Step Analysis:

Statement 1: All reptiles are omnivores → reptiles inside omnivores
Statement 2: Some omnivores are herbivores → omnivores and herbivores overlap
Statement 3: No herbivores is a fish → herbivores and fish separate

Checking Conclusions:

✗ Conclusion I: "Some reptiles are not fish"
Cannot determine relationship between reptiles and fish - NOT PROVEN

✓ Conclusion II: "Some omnivores are not fish"
Some omnivores are herbivores (given) + No herbivores is fish (given)
Those omnivores which are herbivores cannot be fish - FOLLOWS

✓ Conclusion III: "No fish is a herbivores"
Conversion of "No herbivores is a fish" - FOLLOWS

Answer: Conclusions II and III follow

Step-by-Step Analysis:

Statement 1: All wild are diurnal → wild inside diurnal
Statement 2: Some diurnal are fish → diurnal and fish overlap
Statement 3: No fish is a nocturnal → fish and nocturnal separate

Checking Conclusions:

✗ Conclusion I: "Some wild are not nocturnal"
Cannot determine relationship between wild and nocturnal - NOT PROVEN

✓ Conclusion II: "Some diurnal are not nocturnal"
Some diurnal are fish (given) + No fish is nocturnal (given)
Those diurnal which are fish cannot be nocturnal - FOLLOWS

✓ Conclusion III: "No nocturnal is a fish"
Conversion of "No fish is a nocturnal" - FOLLOWS

Answer: Conclusions II and III follow

Step-by-Step Analysis:

Statement 1: All diurnal are domestic → diurnal inside domestic
Statement 2: Some domestic are mammals → domestic and mammals overlap
Statement 3: No mammals is a cold-blooded → mammals and cold-blooded separate

Checking Conclusions:

✗ Conclusion I: "Some diurnal are not cold-blooded"
Cannot determine relationship between diurnal and cold-blooded - NOT PROVEN

✓ Conclusion II: "Some domestic are not cold-blooded"
Some domestic are mammals (given) + No mammals is cold-blooded (given)
Those domestic which are mammals cannot be cold-blooded - FOLLOWS

✓ Conclusion III: "No cold-blooded is a mammals"
Conversion of "No mammals is a cold-blooded" - FOLLOWS

Answer: Conclusions II and III follow

Step-by-Step Analysis:

Statement 1: All pilots are pharmacists → pilots inside pharmacists
Statement 2: Some pharmacists are engineers → pharmacists and engineers overlap
Statement 3: No engineers is a entrepreneurs → engineers and entrepreneurs separate

Checking Conclusions:

✗ Conclusion I: "Some pilots are not entrepreneurs"
Cannot determine relationship between pilots and entrepreneurs - NOT PROVEN

✓ Conclusion II: "Some pharmacists are not entrepreneurs"
Some pharmacists are engineers (given) + No engineers is entrepreneurs (given)
Those pharmacists which are engineers cannot be entrepreneurs - FOLLOWS

✓ Conclusion III: "No entrepreneurs is a engineers"
Conversion of "No engineers is a entrepreneurs" - FOLLOWS

Answer: Conclusions II and III follow

Step-by-Step Analysis:

Statement 1: All birds are diurnal → birds inside diurnal
Statement 2: Some diurnal are amphibians → diurnal and amphibians overlap
Statement 3: No amphibians is a warm-blooded → amphibians and warm-blooded separate

Checking Conclusions:

✗ Conclusion I: "Some birds are not warm-blooded"
Cannot determine relationship between birds and warm-blooded - NOT PROVEN

✓ Conclusion II: "Some diurnal are not warm-blooded"
Some diurnal are amphibians (given) + No amphibians is warm-blooded (given)
Those diurnal which are amphibians cannot be warm-blooded - FOLLOWS

✓ Conclusion III: "No warm-blooded is a amphibians"
Conversion of "No amphibians is a warm-blooded" - FOLLOWS

Answer: Conclusions II and III follow

Step-by-Step Analysis:

Statement 1: All nocturnal are omnivores → nocturnal inside omnivores
Statement 2: Some omnivores are fish → omnivores and fish overlap
Statement 3: No fish is a herbivores → fish and herbivores separate

Checking Conclusions:

✗ Conclusion I: "Some nocturnal are not herbivores"
Cannot determine relationship between nocturnal and herbivores - NOT PROVEN

✓ Conclusion II: "Some omnivores are not herbivores"
Some omnivores are fish (given) + No fish is herbivores (given)
Those omnivores which are fish cannot be herbivores - FOLLOWS

✓ Conclusion III: "No herbivores is a fish"
Conversion of "No fish is a herbivores" - FOLLOWS

Answer: Conclusions II and III follow

Step-by-Step Analysis:

Statement 1: All strategies are concepts → strategies inside concepts
Statement 2: Some concepts are structures → concepts and structures overlap
Statement 3: No structures is a theories → structures and theories separate

Checking Conclusions:

✗ Conclusion I: "Some strategies are not theories"
Cannot determine relationship between strategies and theories - NOT PROVEN

✓ Conclusion II: "Some concepts are not theories"
Some concepts are structures (given) + No structures is theories (given)
Those concepts which are structures cannot be theories - FOLLOWS

✓ Conclusion III: "No theories is a structures"
Conversion of "No structures is a theories" - FOLLOWS

Answer: Conclusions II and III follow

Step-by-Step Analysis:

Statement 1: All devices are vehicles → devices inside vehicles
Statement 2: Some vehicles are instruments → vehicles and instruments overlap
Statement 3: No instruments is a gadgets → instruments and gadgets separate

Checking Conclusions:

✗ Conclusion I: "Some devices are not gadgets"
Cannot determine relationship between devices and gadgets - NOT PROVEN

✓ Conclusion II: "Some vehicles are not gadgets"
Some vehicles are instruments (given) + No instruments is gadgets (given)
Those vehicles which are instruments cannot be gadgets - FOLLOWS

✓ Conclusion III: "No gadgets is a instruments"
Conversion of "No instruments is a gadgets" - FOLLOWS

Answer: Conclusions II and III follow

Step-by-Step Analysis:

Statement 1: All strategies are frameworks → strategies inside frameworks
Statement 2: Some frameworks are theories → frameworks and theories overlap
Statement 3: No theories is a principles → theories and principles separate

Checking Conclusions:

✗ Conclusion I: "Some strategies are not principles"
Cannot determine relationship between strategies and principles - NOT PROVEN

✓ Conclusion II: "Some frameworks are not principles"
Some frameworks are theories (given) + No theories is principles (given)
Those frameworks which are theories cannot be principles - FOLLOWS

✓ Conclusion III: "No principles is a theories"
Conversion of "No theories is a principles" - FOLLOWS

Answer: Conclusions II and III follow

Step-by-Step Analysis:

Statement 1: All ornaments are gadgets → ornaments inside gadgets
Statement 2: Some gadgets are appliances → gadgets and appliances overlap
Statement 3: No appliances is a tools → appliances and tools separate

Checking Conclusions:

✗ Conclusion I: "Some ornaments are not tools"
Cannot determine relationship between ornaments and tools - NOT PROVEN

✓ Conclusion II: "Some gadgets are not tools"
Some gadgets are appliances (given) + No appliances is tools (given)
Those gadgets which are appliances cannot be tools - FOLLOWS

✓ Conclusion III: "No tools is a appliances"
Conversion of "No appliances is a tools" - FOLLOWS

Answer: Conclusions II and III follow

Step-by-Step Analysis:

Statement 1: All wild are birds → wild inside birds
Statement 2: Some birds are warm-blooded → birds and warm-blooded overlap
Statement 3: No warm-blooded is a vertebrates → warm-blooded and vertebrates separate

Checking Conclusions:

✗ Conclusion I: "Some wild are not vertebrates"
Cannot determine relationship between wild and vertebrates - NOT PROVEN

✓ Conclusion II: "Some birds are not vertebrates"
Some birds are warm-blooded (given) + No warm-blooded is vertebrates (given)
Those birds which are warm-blooded cannot be vertebrates - FOLLOWS

✓ Conclusion III: "No vertebrates is a warm-blooded"
Conversion of "No warm-blooded is a vertebrates" - FOLLOWS

Answer: Conclusions II and III follow

Step-by-Step Analysis:

Statement 1: All vehicles are gadgets → vehicles inside gadgets
Statement 2: Some gadgets are tools → gadgets and tools overlap
Statement 3: No tools is a machines → tools and machines separate

Checking Conclusions:

✗ Conclusion I: "Some vehicles are not machines"
Cannot determine relationship between vehicles and machines - NOT PROVEN

✓ Conclusion II: "Some gadgets are not machines"
Some gadgets are tools (given) + No tools is machines (given)
Those gadgets which are tools cannot be machines - FOLLOWS

✓ Conclusion III: "No machines is a tools"
Conversion of "No tools is a machines" - FOLLOWS

Answer: Conclusions II and III follow

Step-by-Step Analysis:

Statement 1: All electronics are furniture → electronics inside furniture
Statement 2: Some furniture are vehicles → furniture and vehicles overlap
Statement 3: No vehicles is a appliances → vehicles and appliances separate

Checking Conclusions:

✗ Conclusion I: "Some electronics are not appliances"
Cannot determine relationship between electronics and appliances - NOT PROVEN

✓ Conclusion II: "Some furniture are not appliances"
Some furniture are vehicles (given) + No vehicles is appliances (given)
Those furniture which are vehicles cannot be appliances - FOLLOWS

✓ Conclusion III: "No appliances is a vehicles"
Conversion of "No vehicles is a appliances" - FOLLOWS

Answer: Conclusions II and III follow

Step-by-Step Analysis:

Statement 1: All innovative are accessible → innovative inside accessible
Statement 2: Some accessible are reliable → accessible and reliable overlap
Statement 3: No reliable is a essential → reliable and essential separate

Checking Conclusions:

✗ Conclusion I: "Some innovative are not essential"
Cannot determine relationship between innovative and essential - NOT PROVEN

✓ Conclusion II: "Some accessible are not essential"
Some accessible are reliable (given) + No reliable is essential (given)
Those accessible which are reliable cannot be essential - FOLLOWS

✓ Conclusion III: "No essential is a reliable"
Conversion of "No reliable is a essential" - FOLLOWS

Answer: Conclusions II and III follow

Step-by-Step Analysis:

Statement 1: All essential are durable → essential inside durable
Statement 2: Some durable are efficient → durable and efficient overlap
Statement 3: No efficient is a valuable → efficient and valuable separate

Checking Conclusions:

✗ Conclusion I: "Some essential are not valuable"
Cannot determine relationship between essential and valuable - NOT PROVEN

✓ Conclusion II: "Some durable are not valuable"
Some durable are efficient (given) + No efficient is valuable (given)
Those durable which are efficient cannot be valuable - FOLLOWS

✓ Conclusion III: "No valuable is a efficient"
Conversion of "No efficient is a valuable" - FOLLOWS

Answer: Conclusions II and III follow

Step-by-Step Analysis:

Statement 1: All herbivores are mammals → herbivores inside mammals
Statement 2: Some mammals are warm-blooded → mammals and warm-blooded overlap
Statement 3: No warm-blooded is a cold-blooded → warm-blooded and cold-blooded separate

Checking Conclusions:

✗ Conclusion I: "Some herbivores are not cold-blooded"
Cannot determine relationship between herbivores and cold-blooded - NOT PROVEN

✓ Conclusion II: "Some mammals are not cold-blooded"
Some mammals are warm-blooded (given) + No warm-blooded is cold-blooded (given)
Those mammals which are warm-blooded cannot be cold-blooded - FOLLOWS

✓ Conclusion III: "No cold-blooded is a warm-blooded"
Conversion of "No warm-blooded is a cold-blooded" - FOLLOWS

Answer: Conclusions II and III follow

Step-by-Step Analysis:

Statement 1: All nurses are writers → nurses inside writers
Statement 2: Some writers are lawyers → writers and lawyers overlap
Statement 3: No lawyers is a athletes → lawyers and athletes separate

Checking Conclusions:

✗ Conclusion I: "Some nurses are not athletes"
Cannot determine relationship between nurses and athletes - NOT PROVEN

✓ Conclusion II: "Some writers are not athletes"
Some writers are lawyers (given) + No lawyers is athletes (given)
Those writers which are lawyers cannot be athletes - FOLLOWS

✓ Conclusion III: "No athletes is a lawyers"
Conversion of "No lawyers is a athletes" - FOLLOWS

Answer: Conclusions II and III follow

Step-by-Step Analysis:

Statement 1: All innovative are beautiful → innovative inside beautiful
Statement 2: Some beautiful are efficient → beautiful and efficient overlap
Statement 3: No efficient is a accessible → efficient and accessible separate

Checking Conclusions:

✗ Conclusion I: "Some innovative are not accessible"
Cannot determine relationship between innovative and accessible - NOT PROVEN

✓ Conclusion II: "Some beautiful are not accessible"
Some beautiful are efficient (given) + No efficient is accessible (given)
Those beautiful which are efficient cannot be accessible - FOLLOWS

✓ Conclusion III: "No accessible is a efficient"
Conversion of "No efficient is a accessible" - FOLLOWS

Answer: Conclusions II and III follow

Step-by-Step Analysis:

Statement 1: All teachers are managers → teachers inside managers
Statement 2: Some managers are entrepreneurs → managers and entrepreneurs overlap
Statement 3: No entrepreneurs is a writers → entrepreneurs and writers separate

Checking Conclusions:

✗ Conclusion I: "Some teachers are not writers"
Cannot determine relationship between teachers and writers - NOT PROVEN

✓ Conclusion II: "Some managers are not writers"
Some managers are entrepreneurs (given) + No entrepreneurs is writers (given)
Those managers which are entrepreneurs cannot be writers - FOLLOWS

✓ Conclusion III: "No writers is a entrepreneurs"
Conversion of "No entrepreneurs is a writers" - FOLLOWS

Answer: Conclusions II and III follow