"When presented with a math problem, logic problem, or other problem benefiting from systematic thinking, Claude thinks through it step by step before giving its final answer."

... do AI makers believe this works? Like do think Claude is a conscious thing that can be instructed to "think through" a problem?

All of these prompts (from Anthropic and elsewhere) have a weird level of anthropomorphizing going on. Are AI companies praying to the idols they've made?