1. What is sometimes necessary? 2. In how many cases is Synthesis used? 3. What are they? 4. How many indispensable requisites are there to finding analytic date and number words promptly? 5. Is draining a well the sole object of a pump? 6. Was such its purpose originally? 7. Explain the two phrases used to fix the date of the introduction of tea into Europe. 8. Can a figure phrase that bears the relation of In., Ex., or Con. to the event be forgotten? "C^soft" is often mistaken for "c^hard" by careless learners. Fulton's steamboat "Clermont" was launched in 1807. Such a pupil translates that date by the phrase, "{D}e{f}ie{s} i{c}e" (1800). Here "c" is soft and represents a cipher and not 7. "{D}e{f}y a {s}{c}ow" gives the exact date. Here the "c" is hard and represents 7, and as the steamboat could easily outrun the "scow," the phrase is easily remembered. An impatient pupil who never learns anything thoroughly often disregards the rule about _silent_ consonants. Braddock and most of his men were killed by the Indians in 1755. This date this pupil translates by the phrase, "Dock knell all" (17255). He overlooks the fact that 17 was expressed by "Dock," and no one out of a mad-house can tell how he came to add "knell all," unless he had forgotten that he had provided for the 7 of 17, and imagined that "k" in knell is sounded. But how account for "n" to introduce 2? A genuine pupil would find the analytic phrase in "{Th}ey {k}i{l}l a{l}l" (1755). Andrew Jackson, the seventh President, died in 1845. The unindustrious pupil imagines that "p" represents 8, and not "f" or "v," and translates 1845 into "{T}o {p}ou{r} oi{l}" (1945). The diligent student finds an analytic translation of the date in the phrase "{Th}e {f}a{r}ewe{l}l" (1845). These illustrations are sufficient to convince any one that the Figure Alphabet must be _mastered_ before the attempt is made to deal with dates and numbers. (2) THE PUPIL MUST POSSESS SUCH A MASTERY OF THE SUBJECT MATTER THAT HE CAN INSTANTLY RECALL FACTS RELATING THERETO ON THE LINES OF IN., EX., AND CON. If he lacks such knowledge he had better deal with dates and numbers which he must remember by synthesis [hereafter], or by Numeric Thinking, rather than strive in vain to find _analytic_ date and number words. 1. What mistake does the impatient pupil make? 2. Does this not convince you that the figure alphabet must be mastered before the attempt is made to deal with dates? 3. What is the second requisite to becoming proficient in forming analytic date words? 4. What should the pupil do if he lacks the knowledge indicated here? 5. If the pupil fixes in mind the population of three States per day, how long will it take him to learn the population of all the American States? 6. How long to deal in like manner with the population of all the countries of the globe?