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VERSE: Nu13-22b

============================ Nu13-22b =========================

SUCCINCT SUMMARY:
-----------------
One of Rashis 10 major goals is to illustrate complex
geometric designs or algebraic complications. This is
called the Rashi method of SPREADSHEETS, since
SPREADSHEETS are one method of clarifying a complex
relationship.  The SPREADSHEET method can refer to
any illustration of a verse that clarifies it.

EXAMPLE Nu13-22b
----------------
Nu13-22 states
------------------------------
They journeyed to CHEVRON
which was built SEVEN years before
Tzoan of Egypt
------------------------------

Rashi interprets BUILT SEVEN YEARS BEFORE
to indicate that CHEVRON is more important
than Tzoan. Rashi then uses this verse to
illustrate a hierarchy of land importance.

The basic point of the hierarchy is as follows
----------------------------------------------
1) ISRAEL is BETTER than CHEVRON
   since
   chevron is used for burial and burial
   plots use land of inferior quality
   (See Gn23-19:20 proving Chevron is used for burial)

2) CHEVRON is BETTER than TZOAN
   since
   CHEVRON was built before
   Tzoan as indicated in Nu13-22

3) TZOAN is the BEST of EGYPT
   since
   Tzoan is the Capital of Egypt
   as indicated in Is30-05 and
   the Capital is typically the
   land of superior quality

4) EGYPT is BETTER than the rest of the WORLD
   since
   Egypt is compared (Gn13-10) to
   be the GARDEN of GOD

Hence Rashi infers the following hierarchy
- Israel
- Chevron
- Tzoan
- Egypt
- World
Israel is the best of all lands.

LIST690k below summarizes this spreadsheet pattern.
LIST690a presents other Rashis where the SPREADSHEET rule
is used.
================================================================
ITEM                     DETAIL
======================== =======================================
RASHI RULE CLASS:        SPREADSHEETS
RASHI SUBRULE CLASS      ALGEBRA
RASHI WORKBOOK PRINCIPLE #30
SEE BELOW                LIST690k
List of                  Land Hierarchies (Israel is best land)
-----------------        --------------------------
SEE BELOW                LIST690a
List of Rashis using     Spreadsheets/Algebra
================================================================

========================== LIST690k ================================
List of                  Land Hierarchies (Israel is best land)
====================================================================
LAND OF BETTER  BECAUSE              AND                  VERSE
======= ======= ==================== ==================== ==========
Israel  Chevron Chevron=burial place burial=inferior land Gn23-19:20
Chevron Tzoan   Chevron built first  1st built=best*1     Nu13-22b
Tzoan   Egypt   Tzoan=Egypt capital; Capital=best         Is30-05
Egypt   Land    Egypt=GARDEN OF GOD  GARDEN=best land     Gn13-20

NOTES
-----
*1 Actually Rashi interprets the whole verse
   --------------------------------------------
   Chevron was built 7 years before Tzoan
   --------------------------------------------
   to mean that
   -------------------------------------------
   Chevron was 7 times better than Tzoan
   -------------------------------------------

   But this is not necessary. EVEN if we interpret the verse
   literally the fact that Chevron was built first implies
   that it is of superior quality.
====================================================================


==================== LIST690a ==================================
List of Rashis using     Spreadsheets/Algebra
================================================================
VERSE         Item Spreadsheet is used for
============  ==================================================
nu13-22b.htm  Israel is superior of all lands
gn49-26d.htm  your fathers blessings greater than my fathers
dt21-17a.htm  How to give 1st-born double *1
ex38-24b.htm  Computation of relative value of Biblical currency
nu03-39b.htm  Accounting of Levite children
nu31-26a.htm  Division of booty in war
gn05-32b.htm  Computation of relative ages of Noachs children
gn25-20a.htm  Proof that Rivkah was 15 when she married Isaac

NOTES
-----
*1  Many people are familiar with the concept of the
    FORMULA PLUG IN. That is a problem is solved by a
    formula which you plug into.

    But some problems intrinsically cannot (initally)
    be solved by a formula. Instead you have to
    formulate the problem algebraically and solve;only
    then do you have the formula.

    In other words these problems are solved by
    the EQUATION vs the FORMULA

    Thus the statement that the eldest gets double
    suggests the following model.

    - Suppose the are B brothers
    - Suppose 1 of them is eldest
    - The Fathers total assets are T (Total)

    - Let A be the amount each brother inherits
    We have no formula for A

    - Then each of the B-1 brothers obtains A
    - The eldest obtains double, 2A.
    - Together this exhausts the Fathers estate, T

    Hence we have (B-1)A + 2A = (B+1)A = T

    This gives rise to the formula  A = T / (B+1)

    An example is a father with 100,000 and 4 children
    - T=100,000
    - B=4
    - So each child take T/(B+1) = 100000/5 = 20,000
    - Eldest takes 2*20000=40000
    - Other 3 take 20000
    - Total distribution =3*20000+40000=100000

    See Rambam Inheritance Chapter 2
================================================================
---------------------------------------------------
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Volume 26 Number 11


#*#*#*#  (C) 2000-2005, RashiYomi Inc. Dr Hendel President #*#*#*#
Volume 26 Number 11