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6.11 Limitations of Early Scientific Methods



                   ˆ   easure quantities                                                                                       M
                   ˆ   escribe patterns                                                                                        D

                   ˆ   redict outcomes                                                                                         P

               Mathematical reasoning is fundamental to:

                   ˆ   lgorithm design                                                                                         A
                   ˆ   ata analysis                                                                                            D

                   ˆ   achine learning                                                                                         M



               6.11       Limitations of Early Scientific Methods

                   Despite their importance, early scientific methods had limitations:

                   ˆ   ack of controlled experiments                                                                           L

                   ˆ nfluence of myths and beliefs                                                                             I

                   ˆ   imited measurement tools                                                                                L

                   ˆ   bsence of standardized procedures                                                                       A
               These limitations led to the development of more rigorous scientific methodologies in later

               centuries.



               6.12       Transition Toward Modern Scientific Methods

                   Over time, scientists began to:

                   ˆ   mphasize experimentation                                                                                E

                   ˆ   se measurement tools                                                                                    U

                   ˆ   alidate results                                                                                         V
                   ˆ   hare findings systematically                                                                            S

               This transition paved the way for modern science and technology.



               6.13       Importance for Computing Students


                   Understanding early scientific methods helps computing students:

                   ˆ   ppreciate the evolution of scientific thinking                                                          A
                   ˆ   nderstand the origins of systematic problem solving                                                     U

                   ˆ   evelop structured thinking skills                                                                       D

                   ˆ   pply experimental approaches in programming and research                                                A
               Modern computing builds upon centuries of scientific reasoning and experimentation.


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