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#*#*# (C) RashiYomi Inc. 2005, Dr. Hendel, President #*#*#
VERSE: Dt23-12a
RASHIS COVERED: Dt21-17a Dt23-12a
Dt23-12a
(C) Dr Hendel, Jan-04


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 Dt21-17a
----------------
Dt21-17a states that the 1st-born
----------------------------------
the 1st born child inherits DOUBLE
----------------------------------

A numerical ALGORITHM for explaining double
is presented by Rashi. First we present the
algorithm for equal inheritance.

If All inherit equally
----------------------
Father has              3 boys
Father has              $120
If All inherit equally  Each boy inherits 120/3=$40
----------------------  ----------------------------------------

If Eldest gets double
----------------------  ----------------------------------------
Create fictitious child Father has 4 boys: 3 Real+1 fictitious
All inherit equally     Each boy receives 120/4=$30
Eldest gets double      Eldest gets his $30+$30 of fictitioius=$60
Remaining children      Get 120/4 = 30*1
----------------------  ----------------------------------------

It APPEARS that formula is
- Eldest gets - 120/(3+1) x 2
- Others get  - 120/(3+1)
Eldest then has double of other children

As shown in LIST690n below which summarizes this argument,
this is not exactly true. An exotic example from the
Rambam shows the necessity of using the method in the table.


EXAMPLE Dt23-12
---------------
The text of Dt23-12 states
-------------------------------------
And it will be that as evening comes
he washes his body in water and
when sunset comes he will be pure
-------------------------------------

There are two LOGICALLY EQUIVALENT ways of
reading this verse

METHOD 1
-------------------------------------
IF (he washes before sunset AND waits till after sunset)
THEN (He is PURE)*10
-------------------------------------

METHOD 2
-------------------------------------
IF (He washes before sunset THEN
IF (He waits till sunset THEN
(He is pure)))*10
-------------------------------------

The equivalence of these two methods is known as
the EXPORT-IMPORT law of LOGIC. So Rashi simply
clarifies requirements here.

LIST690a below presents many Rashis based on SPREADSHEETS
ITEM DETAIL
RASHI RULE CLASS: SPREADSHEETS
RASHI SUBRULE CLASS ALGEBRA
RASHI WORKBOOK PRINCIPLE #30
SEE BELOW LIST690a
List of Rashis using Spreadsheets/Algebra
----------------------- ----------------------------------------
SEE BELOW LIST690n
Illustration of Eldest Inheriting Double
----------------------- ----------------------------------------
SEE BELOW LIST690O
Illustration of (A and B)==>C vs A==>(B==>C)
LIST690n
(C) Dr Hendel, Jan-04

Illustration of          Eldest Inheriting Double
CASE CONSEQUENCE
If all inherit equally
-----------------------
Father has 3 boys
Father has $120
If All inherit equally Each boy inherits $120/3=$40
---------------------- ----------------------------------------
If Eldest gets double
---------------------- ----------------------------------------
Create fictitious child Father has 4 boys: 3 Real+1 fictitious
All inherit equally Each boy receives $120/4=$30
Eldest gets double Eldest gets his $30+$30 of fictitioius=$60
Remaining children Get 120/4 = 30*1
COMMENTS
*1 So it APPEARS that formula is
- Eldest gets - 120/(3+1) x 2
- Others get  - 120/(3+1)
Eldest then has double of other children

But Rambam gives an unusual case
- 1 ordinary boy
- 1 eldest
- 1 Hidden-sex child
The Hidden-sex child
- has a right to inherit
- does not have a right to intefer with eldest share
This creates some complicated arithmetic which follows
the outline above (Rambam: Inheritance Chapter 2)
#*#*#*# (C) RashiYomi Inc., 2005, Dr. Hendel, President #*#*#*#*#