Analyse philosophique : Hamlet, « To be, or not to be »

Analyze the philosophical depth of Hamlet's 'To be, or not to be' soliloquy (Act $3$, Scene $1$). Explain how the choice of binary structure (being vs. not being) functions as a logical syllogism, where the protagonist debates the value of existence against the weight of suffering. Discuss the use of metaphor regarding the 'undiscovered country' and relate how the character’s hesitation serves as a structural obstacle that delays the resolution of the play's main action ($A ightarrow B$).