[Galaxy Note II Q&A, Help & Troubleshooting] MeiR_ct:
2GB is clearly not enough, so I ended up using this guide to dump directly to PC, using "nc".

But as found out, it was an unneeded work, since I was dumping the external sd data (by the way, I found out when the size passed 16GB and was still increasing. Then I pulled out the micro sd and noticed that "cat /proc/partitions" is empty).

I have no idea why a sudden reboot occured when dumping to RAM, perhaps it's related to my issue?

The unfortunate fact is that currently I cannot dump anything from the emmc since it has no readable partitions.

Full dmesg output: http://hastebin.com/raw/pohunuhisu (was too long to fit here)

With grep of "mmc" (assuming these are the interesting ones):

~ # dmesg | grep mmc
dmesg | grep mmc
<5>[ 0.000000] c0 Kernel command line: console=ram loglevel=4 bootmode=2 sec_debug.level=0 sec_watchdog.sec_pet=5 androidboot.debug_level=0x4f4c sec_log=0x200000@0x46000000 sec_tima_log=0x200000@0x46202000 sec_avc_log=0x40000@0x46404000 s3cfb.bootloaderfb=0x5ec00000 sysscope=0xee000000 lcdtype=1 consoleblank=0 lpj=3981312 vmalloc=176m oops=panic pmic_info=67 cordon=ba920e93ede2b6687252656e7f08332d connie=GT-N7100_OPEN_EUR_0c27b5455e10924c1fcfd032d76705c7 androidboot.emmc_checksum=3 androidboot.odin_download=1 androidboot.bootloader=N7100XXUFNL1 androidboot.selinux=enforcing androidboot.warranty_bit=1 androidboot.sec_atd.tty=/dev/ttySAC2 androidboot.serialno=4df1b7fc16e98fbf snd_soc_core.pmdown_time=1000
<6>[ 2.149294] c2 dw_mmc dw_mmc: clock source 0: sclk_dwmci (40000000 Hz)
<3>[ 2.150586] c2 mmc0: Version ID 0x5342240a.
<6>[ 2.150837] c2 mmc0: FIFO WMARK FOR RX 0x80 WX 0x40. ###########
<6>[ 2.152320] c2 mmc0: MSHCI controller on samsung-mshci [dw_mmc] using IDMA
<6>[ 2.152810] c2 s3c-sdhci s3c-sdhci.2: clock source 2: sclk_mmc (40000000 Hz)
<6>[ 2.153095] c2 mmc1: vtf_2.8v regulator found
<7>[ 2.153301] c2 Registered led device: mmc1::
<6>[ 2.154455] c0 sdhci_set_ios : MMC Card ON samsung-hsmmc
<6>[ 2.154508] c0 mmc1: SDHCI controller on samsung-hsmmc [s3c-sdhci.2] using ADMA
<6>[ 2.154738] c0 mmc1: card removed.
<6>[ 2.154840] c0 s3c-sdhci s3c-sdhci.3: clock source 2: sclk_mmc (8800000 Hz)
<3>[ 2.154921] c0 mmc2: no vmmc regulator found
<7>[ 2.155208] c0 Registered led device: mmc2::
<6>[ 2.155460] c0 mmc2: SDHCI controller on samsung-hsmmc [s3c-sdhci.3] using ADMA
<3>[ 2.180888] c0 mmc0: cmd 52 response timeout error
<3>[ 2.181732] c0 mmc0: cmd 52 response timeout error
<3>[ 2.185774] c0 mmc0: cmd 8 response timeout error
<3>[ 2.186623] c0 mmc0: cmd 5 response timeout error
<3>[ 2.187458] c0 mmc0: cmd 5 response timeout error
<3>[ 2.188288] c0 mmc0: cmd 5 response timeout error
<3>[ 2.189119] c0 mmc0: cmd 5 response timeout error
<3>[ 2.189971] c0 mmc0: cmd 55 response timeout error
<3>[ 2.190886] c0 mmc0: cmd 55 response timeout error
<3>[ 2.191736] c0 mmc0: cmd 55 response timeout error
<3>[ 2.192589] c0 mmc0: cmd 55 response timeout error
<3>[ 2.211830] c0 mmc0: PERM_WRITE_PROTECT was set.
<6>[ 2.211866] c0 mmc0: VTU00M: 15010056545530304df1b7fc16e98fbf
<3>[ 2.290878] c0 mmc0: cmd 13 response timeout error
<6>[ 2.290975] c0 mmc0 : disable PON feature : ffffff92 : 00(10) : 00000000
<3>[ 2.291812] c0 mmc0: cmd 6 response timeout error
<3>[ 2.292644] c0 mmc0: cmd 6 response timeout error
<3>[ 2.293473] c0 mmc0: cmd 6 response timeout error
<3>[ 2.294305] c0 mmc0: cmd 6 response timeout error
<3>[ 2.294372] c0 mmc0: error -110 whilst initialising MMC card
<6>[ 2.329007] c2 sdhci_set_ios : MMC Card OFF samsung-hsmmc