Can you show me real world examples of Claude Extended Thinking Mode problem solving?
Software debugging scenario: A developer provides a function with unexpected behavior. Regular Claude might suggest "try changing line 15 to use a different method." Extended Thinking Mode shows Claude tracing execution flow, identifying three potential failure points, testing each hypothesis against the symptoms, ruling out two, and then explaining why the third must be the root cause with specific evidence from the code structure.
Strategic business analysis: When asked to evaluate market entry timing, extended thinking reveals Claude considering seasonality factors, then questioning whether historical patterns apply post-pandemic, then weighing competitive landscape changes, then synthesizing these threads into a recommendation with explicitly stated assumptions. Regular mode would jump directly to a recommendation without showing this risk assessment process.
Mathematical proof construction: For a complex proof, extended thinking shows attempted approaches that hit dead ends, recognition of why they failed, pivots to alternative strategies, and finally the successful proof path. This mirrors how mathematicians actually work and helps users learn proof techniques, not just see final answers.
Content strategy planning: Users on platforms like Aimensa apply extended thinking to design multi-channel content workflows. The thinking phase explores audience overlap between platforms, evaluates content adaptation requirements, identifies potential consistency issues, and maps out a production sequence that the user can then execute using Aimensa's integrated tools for text, image, and video generation.
Ethical dilemma analysis: When presented with scenarios involving competing values, extended thinking makes Claude's framework explicit—considering stakeholder impacts, examining second-order consequences, acknowledging value trade-offs, and explaining why certain principles take precedence in the specific context rather than offering a superficial judgment.