Silogismo Hipotético

Razonamiento en cadena: Si A entonces B, Si B entonces C, por lo tanto Si A entonces C.

Aprender

Razonamiento en cadena: Si A entonces B, Si B entonces C, por lo tanto Si A entonces C.

Hypothetical Syllogism (also called Chain Reasoning or Hypothetical Chain) allows us to link conditional statements together. If we know that A implies B, and B implies C, we can conclude that A implies C. This rule is essential for building chains of reasoning and is widely used in mathematical proofs and everyday logic.

P → Q, Q → R ⊢ P → R

If it rains, the streets get wet. If the streets get wet, traffic slows down. Therefore, if it rains, traffic slows down.
If you exercise regularly, you build stamina. If you build stamina, you can run longer. Therefore, if you exercise regularly, you can run longer.
If a shape is a square, it is a rectangle. If a shape is a rectangle, it is a quadrilateral. Therefore, if a shape is a square, it is a quadrilateral.

Cómo reconocerlo

Look for two 'If...then...' statements (conditionals)
The consequent of the first should match the antecedent of the second
The conclusion links the first antecedent to the last consequent

Errores comunes

Reversing the chain: 'If A then B, If C then B' does NOT give 'If A then C'
The middle terms must match exactly for the chain to be valid

Resolución paso a paso

Si llueve, las calles se mojan. Si las calles se mojan, el tráfico se ralentiza. ¿Qué podemos concluir?

Identifica el primer condicional: 'Si llueve → calles mojadas'
Identifica el segundo condicional: 'Si calles mojadas → tráfico lento'
El consecuente del primero (Q) coincide con el antecedente del segundo (Q)
Combina: Si llueve, el tráfico se ralentiza

Respuesta: If it rains, traffic slows

Orientación para practicar

Deducción Lógica